{"id":235493,"date":"2025-06-15T12:11:28","date_gmt":"2025-06-15T12:11:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=235493"},"modified":"2025-06-15T12:11:30","modified_gmt":"2025-06-15T12:11:30","slug":"which-graph-shows-the-line-y-3x-1","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/15\/which-graph-shows-the-line-y-3x-1\/","title":{"rendered":"Which graph shows the line Y = -3x + 1"},"content":{"rendered":"\n

Which graph shows the line Y = -3x + 1 Question 9 of 42: Which graph shows the line y = -3x + 1? Graph B B. Graph A Graph C Graph D 6 PREVIOUS Scan Boi<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To identify the correct graph for the linear equation y = -3x + 1<\/strong>, one can analyze its two key components based on the slope-intercept form, y = mx + b<\/strong>.<\/p>\n\n\n\n

    \n
  1. The Y-Intercept (b):<\/strong>\u00a0In the equation y = -3x + 1, the value of ‘b’ is\u00a0+1<\/strong>. This tells you the point where the line crosses the vertical y-axis. Therefore, the correct graph must pass through the point\u00a0(0, 1)<\/strong>. Looking at the four lines provided:\n
      \n
    • Graph A and Graph C cross the y-axis at (0, -1). They are incorrect.<\/li>\n\n\n\n
    • Graph B and Graph D both cross the y-axis at (0, 1). One of these must be the correct answer.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • **The Slope slopes (they go up from left to right).
      This eliminates Graphs A and C.<\/li>\n<\/ol>\n\n\n\n

      3. Combine the findings:<\/strong>
      The correct graph must have a y-intercept of +1 and a negative slope. The only line that meets both these requirements is Graph B.<\/p>\n\n\n\n

      To further confirm, you can check the slope value of -3 on Graph B. The slope -3 can be thought of as “rise over run,” or -3\/1. This means from any point on (m):** In the equation y = -3x + 1, the slope ‘m’ is -3<\/strong>. The slope indicates the steepness and direction of the line. A slope of -3 can be written as the fraction -3\/1. This means for every 1 unit you move to the right on the graph (the “run”), you must the line, if you move 1 unit to the right, you must move 3 units down.<\/p>\n\n\n\n

        \n
      • Start at the y-intercept of Graph B, which is (0, 1).<\/li>\n\n\n\n
      • Move 1 unit to the right (to x = 1).<\/li>\n\n\n\n
      • Move 3 units down (from y = 1 to y = -2).<\/li>\n\n\n\n
      • This lands you on the point (1, -2), which is exactly on Graph B.<\/li>\n<\/ul>\n\n\n\n

        Therefore, Graph B correctly represents the line y = -3x + 1. The correct option is A. move 3 units down (the “rise,” which is negative in this case).<\/p>\n\n\n\n

        *   Let's test this on the remaining options, Graph B and Graph D, starting from their y-intercept at (0, 1).\n*   **For Graph B (the green line):** Starting at (0, 1), if you move 1 unit to the right to x=1 and 3 units down to y=-2, you land on the<\/code><\/pre>\n\n\n\n
        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"
        Which graph shows the line Y = -3x + 1 Question 9 of 42: Which graph shows the line y = -3x + 1? Graph B B. Graph A Graph C Graph D 6 PREVIOUS Scan Boi The Correct Answer and Explanation is: Explanation: To identify the correct graph for the linear equation y = -3x […]<\/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-235493","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235493","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=235493"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235493\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235493"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}