{"id":234448,"date":"2025-06-14T06:27:32","date_gmt":"2025-06-14T06:27:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=234448"},"modified":"2025-06-14T06:27:34","modified_gmt":"2025-06-14T06:27:34","slug":"graph-from-slope-intercept-form-graph-y4x%e2%88%929","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/14\/graph-from-slope-intercept-form-graph-y4x%e2%88%929\/","title":{"rendered":"Graph from slope-intercept form Graph\u00a0y=4x\u22129."},"content":{"rendered":"\n
Graph from slope-intercept form Graph y=4x\u22129.<\/pre>\n\n\n\n
\"\"<\/figure>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
Of course. Here is an explanation of how to graph the linear equation provided.<\/p>\n\n\n\n
Graphing the Equation y = 4x – 9<\/h3>\n\n\n\n
The given equation, y = 4x – 9<\/strong>, is presented in the slope-intercept form<\/strong>, which is written as y = mx + b<\/strong>. This form is particularly useful for graphing because it directly provides two key pieces of information about the line: its slope (m) and its y-intercept (b).<\/p>\n\n\n\n
Step 1: Identify the y-intercept (b)<\/strong><\/p>\n\n\n\n
The y-intercept is the point where the line crosses the vertical y-axis. In the general form y = mx + b, the ‘b’ value represents the y-coordinate of this intercept. For the equation y = 4x – 9, the value of b is -9<\/strong>.<\/p>\n\n\n\n
This means the line passes through the point on the y-axis where y = -9. The coordinates for the y-intercept are therefore (0, -9)<\/strong>. To begin graphing, this point is plotted on the coordinate plane.<\/p>\n\n\n\n
Step 2: Identify the slope (m)<\/strong><\/p>\n\n\n\n
The slope of a line describes its steepness and direction. In the equation y = mx + b, the ‘m’ value represents the slope. For the equation y = 4x – 9, the slope m is 4<\/strong>.<\/p>\n\n\n\n
The slope is often thought of as “rise over run” (the change in y divided by the change in x). A whole number like 4 can be written as a fraction to make this relationship clear: m = 4\/1<\/strong>.<\/p>\n\n\n\n
    \n
  • Rise = 4<\/strong>: This indicates a vertical change of 4 units upwards.<\/li>\n\n\n\n
  • Run = 1<\/strong>: This indicates a horizontal change of 1 unit to the right.<\/li>\n<\/ul>\n\n\n\n
    Step 3: Use the slope to find a second point<\/strong><\/p>\n\n\n\n
    Starting from the y-intercept (0, -9), the slope is used to find another point on the line.<\/p>\n\n\n\n
      \n
    1. From the point (0, -9), move up 4 units (the rise). This brings you to y = -5.<\/li>\n\n\n\n
    2. From that new position, move to the right 1 unit (the run). This brings you to x = 1.<\/li>\n<\/ol>\n\n\n\n
      The coordinates of the second point are (1, -5)<\/strong>. This process can be repeated from the new point to find more points. For example, starting from (1, -5), rising 4 and running 1 leads to the point (2, -1).<\/p>\n\n\n\n
      Step 4: Draw the Line<\/strong><\/p>\n\n\n\n
      Once at least two points, such as (0, -9) and (1, -5), are plotted on the graph, a straight line is drawn passing through them. This line extends indefinitely in both directions and represents all the coordinate pairs (x, y) that are solutions to the equation y = 4x – 9. The graph provided in the image correctly illustrates this line, passing through the y-intercept at -9 and rising steeply with a slope of 4.<\/p>\n\n\n\n
      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"
      Graph from slope-intercept form Graph y=4x\u22129. The Correct Answer and Explanation is: Of course. Here is an explanation of how to graph the linear equation provided. Graphing the Equation y = 4x – 9 The given equation, y = 4x – 9, is presented in the slope-intercept form, which is written as y = mx + b. This form […]<\/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-234448","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234448","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=234448"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234448\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=234448"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=234448"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=234448"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}