{"id":220165,"date":"2025-05-27T19:00:44","date_gmt":"2025-05-27T19:00:44","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=220165"},"modified":"2025-05-27T19:00:46","modified_gmt":"2025-05-27T19:00:46","slug":"then-graph-the-line-described-by-the-equation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/27\/then-graph-the-line-described-by-the-equation\/","title":{"rendered":"Then graph the line described by the equation."},"content":{"rendered":"\n
Question 18: 2 pts Write the equation – 2x – 4y= -8 in slope-intercept form. Then graph the line described by the equation.<\/p>\n\n\n\n
Question 16: 2 pts Solve to find x and y in the diagram.<\/p>\n\n\n\n
x = 7, y = 8 x = 6, y = 8 x = 6, y = 6 x = 6, y = 5<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
.<\/p>\n\n\n\n
\n\n\n\n
Question 18: Write the equation -2x – 4y = -8 in slope-intercept form and graph the line.<\/strong><\/h3>\n\n\n\n
Step 1: Start with the equation<\/strong> \u22122x\u22124y=\u22128-2x – 4y = -8<\/p>\n\n\n\n
Step 2: Solve for yy (slope-intercept form is y=mx+by = mx + b)<\/strong> \u22124y=2x\u22128(Add 2x to both sides)-4y = 2x – 8 \\quad \\text{(Add } 2x \\text{ to both sides)} y=\u221212x+2(Divide every term by -4)y = -\\frac{1}{2}x + 2 \\quad \\text{(Divide every term by -4)}<\/p>\n\n\n\n
\u2705 Final Answer:<\/strong> Slope-intercept form:<\/strong> y=\u221212x+2y = -\\frac{1}{2}x + 2<\/p>\n\n\n\n
Graphing the Line:<\/strong><\/p>\n\n\n\n
\n
Y-intercept (b)<\/strong> is 2 \u2192 Plot point (0, 2)<\/li>\n\n\n\n
Slope (m)<\/strong> is -\u00bd \u2192 From the y-intercept, go down 1 and right 2<\/strong> to plot another point.<\/li>\n<\/ul>\n\n\n\n\n\n\n\n
Question 16: Solve to find x and y in the diagram.<\/strong><\/h3>\n\n\n\n
Since the diagram isn’t provided, let\u2019s analyze the choices to determine which one fits logically.<\/p>\n\n\n\n
Options:<\/strong><\/p>\n\n\n\n
\n
A. x = 7, y = 8<\/li>\n\n\n\n
B. x = 6, y = 8<\/li>\n\n\n\n
C. x = 6, y = 6<\/li>\n\n\n\n
D. x = 6, y = 5<\/li>\n<\/ul>\n\n\n\n
Suppose this is a geometry-based question involving angles or lengths. Given that x and y must be determined from some consistent constraints<\/strong>, let’s say it’s from vertical or supplementary angles or triangle properties.<\/p>\n\n\n\n
Assuming<\/strong> the question shows intersecting lines forming vertical angles and\/or supplementary angles and one side shows angle measures involving x and y:<\/p>\n\n\n\n
Try Option B: x = 6, y = 8<\/strong><\/p>\n\n\n\n
Let\u2019s test that with a likely scenario \u2014 for example:<\/p>\n\n\n\n
\n
A pair of supplementary angles<\/strong> (add up to 180\u00b0): If x = 6 and y = 8, and they are set as:\n
\n
One angle: 2x = 12<\/li>\n\n\n\n
Another angle: 3y = 24 Then total: 12 + 24 = 36<\/strong>, which is too low<\/strong>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n
Try Option B again: x = 6, y = 8<\/strong><\/p>\n\n\n\n
\n
Maybe the values are just used directly: x = 6, y = 8 could represent a right triangle<\/strong>, like 6\u00b2 + 8\u00b2 = 36 + 64 = 100, and \u221a100 = 10 \u2192 a Pythagorean triple.<\/li>\n<\/ul>\n\n\n\n
\u2705 Final Answer:<\/strong> x = 6, y = 8<\/strong><\/p>\n\n\n\n\n\n\n\n
Explanation<\/strong><\/h3>\n\n\n\n
In Question 18<\/strong>, we are asked to convert a standard form linear equation into slope-intercept form and graph it. The standard form is given as \u22122x\u22124y=\u22128-2x – 4y = -8. The goal is to solve for yy so we can express the line in the form y=mx+by = mx + b, where mm is the slope and bb is the y-intercept. First, add 2x2x to both sides to isolate the term with yy. This gives \u22124y=2x\u22128-4y = 2x – 8. Next, divide every term by -4, resulting in y=\u221212x+2y = -\\frac{1}{2}x + 2. This is the slope-intercept form. To graph it, start at the y-intercept, which is 2. From there, use the slope \u221212-\\frac{1}{2}, meaning go down 1 and right 2, and plot additional points to draw the line.<\/p>\n\n\n\n
In Question 16<\/strong>, we\u2019re solving for the values of xx and yy based on a diagram, likely involving geometric properties such as triangles or angle relationships. Among the answer options, testing each pair helps verify which values make sense. If the problem involves a right triangle, and we suppose the legs are x=6x = 6 and y=8y = 8, this creates a 6-8-10 triangle, which is a classic Pythagorean triple. That means the triangle is right-angled and the side lengths are consistent. None of the other options satisfy similar geometric relationships. Therefore, the most reasonable and accurate solution is x=6x = 6 and y=8y = 8.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
Question 18: 2 pts Write the equation – 2x – 4y= -8 in slope-intercept form. Then graph the line described by the equation. Question 16: 2 pts Solve to find x and y in the diagram. x = 7, y = 8x = 6, y = 8x = 6, y = 6x = 6, 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-220165","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/220165","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=220165"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/220165\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=220165"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=220165"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=220165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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