Let’s break down each equation step by step and graph them based on the slope-intercept form, y=mx+by = mx + by=mx+b, where mmm is the slope and bbb is the y-intercept.<\/p>\n\n\n\n
1. Equation: 3x – 3y = 7 + 5<\/strong><\/h3>\n\n\n\nFirst, simplify the right-hand side:3x\u22123y=123x – 3y = 123x\u22123y=12<\/p>\n\n\n\n
Next, solve for yyy to put it into slope-intercept form:\u22123y=\u22123x+12-3y = -3x + 12\u22123y=\u22123x+12<\/p>\n\n\n\n
Now, divide through by -3:y=x\u22124y = x – 4y=x\u22124<\/p>\n\n\n\n
This is now in slope-intercept form y=x\u22124y = x – 4y=x\u22124, where the slope m=1m = 1m=1 and the y-intercept b=\u22124b = -4b=\u22124.<\/p>\n\n\n\n
\n- Slope = 1<\/strong> (this means the line rises 1 unit up for every 1 unit it moves to the right)<\/li>\n\n\n\n
- y-intercept = -4<\/strong> (the line crosses the y-axis at y=\u22124y = -4y=\u22124)<\/li>\n<\/ul>\n\n\n\n
2. Equation: V = t + 7<\/strong><\/h3>\n\n\n\nThis equation is already in slope-intercept form:V=t+7V = t + 7V=t+7<\/p>\n\n\n\n
Here, the slope is 1, and the y-intercept is 7.<\/p>\n\n\n\n
\n- Slope = 1<\/strong><\/li>\n\n\n\n
- y-intercept = 7<\/strong><\/li>\n<\/ul>\n\n\n\n
3. Equation: y = 7 – x<\/strong><\/h3>\n\n\n\nRearrange the terms to match the slope-intercept form:y=\u2212x+7y = -x + 7y=\u2212x+7<\/p>\n\n\n\n
This is in slope-intercept form, where:<\/p>\n\n\n\n
\n- Slope = -1<\/strong> (this means the line falls 1 unit for every 1 unit it moves to the right)<\/li>\n\n\n\n
- y-intercept = 7<\/strong><\/li>\n<\/ul>\n\n\n\n
4. Equation: y = -4 + 5<\/strong><\/h3>\n\n\n\nSimplify the right-hand side:y=1y = 1y=1<\/p>\n\n\n\n
This represents a horizontal line at y=1y = 1y=1, with:<\/p>\n\n\n\n
\n- Slope = 0<\/strong> (horizontal lines have a slope of 0)<\/li>\n\n\n\n
- y-intercept = 1<\/strong><\/li>\n<\/ul>\n\n\n\n
5. Equation: y = -5 – 3x<\/strong><\/h3>\n\n\n\nRearrange the terms:y=\u22123x\u22125y = -3x – 5y=\u22123x\u22125<\/p>\n\n\n\n
This is in slope-intercept form, where:<\/p>\n\n\n\n
\n- Slope = -3<\/strong> (the line falls 3 units for every 1 unit it moves to the right)<\/li>\n\n\n\n
- y-intercept = -5<\/strong><\/li>\n<\/ul>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
The slope-intercept form of a line, y=mx+by = mx + by=mx+b, is very useful in graphing because it provides both the slope and the y-intercept directly. The slope (m)<\/strong> indicates the steepness of the line, while the y-intercept (b)<\/strong> is where the line crosses the y-axis.<\/p>\n\n\n\nTo graph these equations:<\/p>\n\n\n\n
\n- Start at the y-intercept<\/strong> point (where the line crosses the y-axis).<\/li>\n\n\n\n
- Use the slope<\/strong> to determine the next points. If the slope is positive, the line rises as you move to the right; if it is negative, the line falls.<\/li>\n<\/ol>\n\n\n\n
For example, for the equation y=x\u22124y = x – 4y=x\u22124, start at (0, -4) on the y-axis. From there, move 1 unit up and 1 unit right to plot another point at (1, -3), and so on. Repeat for all the equations to graph them accurately.<\/p>\n\n\n\n![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-958.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"Linear Equations Homework 3: Graphing Linear Equations by Slope-Intercept Form Bell: Date: This is a 2-page document! Directions: Graph the following linear equations: Convert to slope-intercept form when necessary: 3x – 3y = 7 + 5 V = t + 7. y = 7 – x 8. y = -4 + 5 9. y = […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-246878","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=246878"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
2. Equation: V = t + 7<\/strong><\/h3>\n\n\n\nThis equation is already in slope-intercept form:V=t+7V = t + 7V=t+7<\/p>\n\n\n\n
Here, the slope is 1, and the y-intercept is 7.<\/p>\n\n\n\n
\n- Slope = 1<\/strong><\/li>\n\n\n\n
- y-intercept = 7<\/strong><\/li>\n<\/ul>\n\n\n\n
3. Equation: y = 7 – x<\/strong><\/h3>\n\n\n\nRearrange the terms to match the slope-intercept form:y=\u2212x+7y = -x + 7y=\u2212x+7<\/p>\n\n\n\n
This is in slope-intercept form, where:<\/p>\n\n\n\n
\n- Slope = -1<\/strong> (this means the line falls 1 unit for every 1 unit it moves to the right)<\/li>\n\n\n\n
- y-intercept = 7<\/strong><\/li>\n<\/ul>\n\n\n\n
4. Equation: y = -4 + 5<\/strong><\/h3>\n\n\n\nSimplify the right-hand side:y=1y = 1y=1<\/p>\n\n\n\n
This represents a horizontal line at y=1y = 1y=1, with:<\/p>\n\n\n\n
\n- Slope = 0<\/strong> (horizontal lines have a slope of 0)<\/li>\n\n\n\n
- y-intercept = 1<\/strong><\/li>\n<\/ul>\n\n\n\n
5. Equation: y = -5 – 3x<\/strong><\/h3>\n\n\n\nRearrange the terms:y=\u22123x\u22125y = -3x – 5y=\u22123x\u22125<\/p>\n\n\n\n
This is in slope-intercept form, where:<\/p>\n\n\n\n
\n- Slope = -3<\/strong> (the line falls 3 units for every 1 unit it moves to the right)<\/li>\n\n\n\n
- y-intercept = -5<\/strong><\/li>\n<\/ul>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
The slope-intercept form of a line, y=mx+by = mx + by=mx+b, is very useful in graphing because it provides both the slope and the y-intercept directly. The slope (m)<\/strong> indicates the steepness of the line, while the y-intercept (b)<\/strong> is where the line crosses the y-axis.<\/p>\n\n\n\nTo graph these equations:<\/p>\n\n\n\n
\n- Start at the y-intercept<\/strong> point (where the line crosses the y-axis).<\/li>\n\n\n\n
- Use the slope<\/strong> to determine the next points. If the slope is positive, the line rises as you move to the right; if it is negative, the line falls.<\/li>\n<\/ol>\n\n\n\n
For example, for the equation y=x\u22124y = x – 4y=x\u22124, start at (0, -4) on the y-axis. From there, move 1 unit up and 1 unit right to plot another point at (1, -3), and so on. Repeat for all the equations to graph them accurately.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"Linear Equations Homework 3: Graphing Linear Equations by Slope-Intercept Form Bell: Date: This is a 2-page document! Directions: Graph the following linear equations: Convert to slope-intercept form when necessary: 3x – 3y = 7 + 5 V = t + 7. y = 7 – x 8. y = -4 + 5 9. y = […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-246878","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=246878"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
3. Equation: y = 7 – x<\/strong><\/h3>\n\n\n\nRearrange the terms to match the slope-intercept form:y=\u2212x+7y = -x + 7y=\u2212x+7<\/p>\n\n\n\n
This is in slope-intercept form, where:<\/p>\n\n\n\n
\n- Slope = -1<\/strong> (this means the line falls 1 unit for every 1 unit it moves to the right)<\/li>\n\n\n\n
- y-intercept = 7<\/strong><\/li>\n<\/ul>\n\n\n\n
4. Equation: y = -4 + 5<\/strong><\/h3>\n\n\n\nSimplify the right-hand side:y=1y = 1y=1<\/p>\n\n\n\n
This represents a horizontal line at y=1y = 1y=1, with:<\/p>\n\n\n\n
\n- Slope = 0<\/strong> (horizontal lines have a slope of 0)<\/li>\n\n\n\n
- y-intercept = 1<\/strong><\/li>\n<\/ul>\n\n\n\n
5. Equation: y = -5 – 3x<\/strong><\/h3>\n\n\n\nRearrange the terms:y=\u22123x\u22125y = -3x – 5y=\u22123x\u22125<\/p>\n\n\n\n
This is in slope-intercept form, where:<\/p>\n\n\n\n
\n- Slope = -3<\/strong> (the line falls 3 units for every 1 unit it moves to the right)<\/li>\n\n\n\n
- y-intercept = -5<\/strong><\/li>\n<\/ul>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
The slope-intercept form of a line, y=mx+by = mx + by=mx+b, is very useful in graphing because it provides both the slope and the y-intercept directly. The slope (m)<\/strong> indicates the steepness of the line, while the y-intercept (b)<\/strong> is where the line crosses the y-axis.<\/p>\n\n\n\nTo graph these equations:<\/p>\n\n\n\n
\n- Start at the y-intercept<\/strong> point (where the line crosses the y-axis).<\/li>\n\n\n\n
- Use the slope<\/strong> to determine the next points. If the slope is positive, the line rises as you move to the right; if it is negative, the line falls.<\/li>\n<\/ol>\n\n\n\n
For example, for the equation y=x\u22124y = x – 4y=x\u22124, start at (0, -4) on the y-axis. From there, move 1 unit up and 1 unit right to plot another point at (1, -3), and so on. Repeat for all the equations to graph them accurately.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"Linear Equations Homework 3: Graphing Linear Equations by Slope-Intercept Form Bell: Date: This is a 2-page document! Directions: Graph the following linear equations: Convert to slope-intercept form when necessary: 3x – 3y = 7 + 5 V = t + 7. y = 7 – x 8. y = -4 + 5 9. y = […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-246878","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=246878"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
4. Equation: y = -4 + 5<\/strong><\/h3>\n\n\n\nSimplify the right-hand side:y=1y = 1y=1<\/p>\n\n\n\n
This represents a horizontal line at y=1y = 1y=1, with:<\/p>\n\n\n\n
\n- Slope = 0<\/strong> (horizontal lines have a slope of 0)<\/li>\n\n\n\n
- y-intercept = 1<\/strong><\/li>\n<\/ul>\n\n\n\n
5. Equation: y = -5 – 3x<\/strong><\/h3>\n\n\n\nRearrange the terms:y=\u22123x\u22125y = -3x – 5y=\u22123x\u22125<\/p>\n\n\n\n
This is in slope-intercept form, where:<\/p>\n\n\n\n
\n- Slope = -3<\/strong> (the line falls 3 units for every 1 unit it moves to the right)<\/li>\n\n\n\n
- y-intercept = -5<\/strong><\/li>\n<\/ul>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
The slope-intercept form of a line, y=mx+by = mx + by=mx+b, is very useful in graphing because it provides both the slope and the y-intercept directly. The slope (m)<\/strong> indicates the steepness of the line, while the y-intercept (b)<\/strong> is where the line crosses the y-axis.<\/p>\n\n\n\nTo graph these equations:<\/p>\n\n\n\n
\n- Start at the y-intercept<\/strong> point (where the line crosses the y-axis).<\/li>\n\n\n\n
- Use the slope<\/strong> to determine the next points. If the slope is positive, the line rises as you move to the right; if it is negative, the line falls.<\/li>\n<\/ol>\n\n\n\n
For example, for the equation y=x\u22124y = x – 4y=x\u22124, start at (0, -4) on the y-axis. From there, move 1 unit up and 1 unit right to plot another point at (1, -3), and so on. Repeat for all the equations to graph them accurately.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"Linear Equations Homework 3: Graphing Linear Equations by Slope-Intercept Form Bell: Date: This is a 2-page document! Directions: Graph the following linear equations: Convert to slope-intercept form when necessary: 3x – 3y = 7 + 5 V = t + 7. y = 7 – x 8. y = -4 + 5 9. y = […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-246878","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=246878"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
5. Equation: y = -5 – 3x<\/strong><\/h3>\n\n\n\nRearrange the terms:y=\u22123x\u22125y = -3x – 5y=\u22123x\u22125<\/p>\n\n\n\n
This is in slope-intercept form, where:<\/p>\n\n\n\n
\n- Slope = -3<\/strong> (the line falls 3 units for every 1 unit it moves to the right)<\/li>\n\n\n\n
- y-intercept = -5<\/strong><\/li>\n<\/ul>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
The slope-intercept form of a line, y=mx+by = mx + by=mx+b, is very useful in graphing because it provides both the slope and the y-intercept directly. The slope (m)<\/strong> indicates the steepness of the line, while the y-intercept (b)<\/strong> is where the line crosses the y-axis.<\/p>\n\n\n\nTo graph these equations:<\/p>\n\n\n\n
\n- Start at the y-intercept<\/strong> point (where the line crosses the y-axis).<\/li>\n\n\n\n
- Use the slope<\/strong> to determine the next points. If the slope is positive, the line rises as you move to the right; if it is negative, the line falls.<\/li>\n<\/ol>\n\n\n\n
For example, for the equation y=x\u22124y = x – 4y=x\u22124, start at (0, -4) on the y-axis. From there, move 1 unit up and 1 unit right to plot another point at (1, -3), and so on. Repeat for all the equations to graph them accurately.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"Linear Equations Homework 3: Graphing Linear Equations by Slope-Intercept Form Bell: Date: This is a 2-page document! Directions: Graph the following linear equations: Convert to slope-intercept form when necessary: 3x – 3y = 7 + 5 V = t + 7. y = 7 – x 8. y = -4 + 5 9. y = […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-246878","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=246878"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Explanation:<\/h3>\n\n\n\n
The slope-intercept form of a line, y=mx+by = mx + by=mx+b, is very useful in graphing because it provides both the slope and the y-intercept directly. The slope (m)<\/strong> indicates the steepness of the line, while the y-intercept (b)<\/strong> is where the line crosses the y-axis.<\/p>\n\n\n\n To graph these equations:<\/p>\n\n\n\n For example, for the equation y=x\u22124y = x – 4y=x\u22124, start at (0, -4) on the y-axis. From there, move 1 unit up and 1 unit right to plot another point at (1, -3), and so on. Repeat for all the equations to graph them accurately.<\/p>\n\n\n\n Linear Equations Homework 3: Graphing Linear Equations by Slope-Intercept Form Bell: Date: This is a 2-page document! Directions: Graph the following linear equations: Convert to slope-intercept form when necessary: 3x – 3y = 7 + 5 V = t + 7. y = 7 – x 8. y = -4 + 5 9. y = […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-246878","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=246878"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246878\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
<\/figure>\n","protected":false},"excerpt":{"rendered":"