{"id":233994,"date":"2025-06-13T16:32:19","date_gmt":"2025-06-13T16:32:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=233994"},"modified":"2025-06-13T16:32:22","modified_gmt":"2025-06-13T16:32:22","slug":"horizontal-and-vertical-intercepts-from-graphs-determine-the-horizontal-and-vertical-intercepts-for-each-graph-below-intercepts-must-be-written-as-ordered-pairs","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/13\/horizontal-and-vertical-intercepts-from-graphs-determine-the-horizontal-and-vertical-intercepts-for-each-graph-below-intercepts-must-be-written-as-ordered-pairs\/","title":{"rendered":"Horizontal and Vertical Intercepts from Graphs Determine the horizontal and vertical intercepts for each graph below Intercepts must be written aS ordered pairs"},"content":{"rendered":"\n

Horizontal and Vertical Intercepts from Graphs Determine the horizontal and vertical intercepts for each graph below Intercepts must be written aS ordered pairs: If an intercept does not exist, write DNE. Vertical Intercept: Horizontal Intercept: Vertical Intercept: Horizontal Intercept: 5+y 5 Vertical Intercept: Horizontal Intercept: Vertical Intercept: Horizontal Intercept:<\/p>\n\n\n\n

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

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

Here are the correct answers for the worksheet.<\/p>\n\n\n\n

Completed Image:<\/strong><\/p>\n\n\n\n

![alt text](https:\/\/i.imgur.com\/u5v3tY9.png)<\/pre>\n\n\n\n
Explanation of Horizontal and Vertical Intercepts<\/h3>\n\n\n\n
In coordinate geometry, the intercepts of a graph are the points where the graph crosses the coordinate axes. These points are crucial for understanding the position and orientation of a line or curve.<\/p>\n\n\n\n
Vertical Intercept<\/strong>
The vertical intercept, often called the y-intercept, is the point where the graph intersects the vertical axis (the y-axis). A key feature of any point on the y-axis is that its x-coordinate is always 0. Therefore, the vertical intercept will always be in the form of an ordered pair (0, y).<\/p>\n\n\n\n
Horizontal Intercept<\/strong>
The horizontal intercept, commonly known as the x-intercept, is the point where the graph intersects the horizontal axis (the x-axis). Similarly, any point on the x-axis has a y-coordinate of 0. Thus, the horizontal intercept will always be written as an ordered pair (x, 0).<\/p>\n\n\n\n
Analysis of the Graphs:<\/strong><\/p>\n\n\n\n
    \n
  1. Top-Left Graph:<\/strong>\n
      \n
    • Vertical Intercept:<\/strong>\u00a0The line crosses the y-axis at the point where y is 1. Since the x-coordinate must be 0, the vertical intercept is\u00a0(0, 1)<\/strong>.<\/li>\n\n\n\n
    • Horizontal Intercept:<\/strong>\u00a0The line crosses the x-axis at the point where x is 1. Since the y-coordinate must be 0, the horizontal intercept is\u00a0(1, 0)<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Top-Right Graph:<\/strong>\n
        \n
      • Vertical Intercept:<\/strong>\u00a0The line intersects the y-axis at y = 2. This corresponds to the ordered pair\u00a0(0, 2)<\/strong>.<\/li>\n\n\n\n
      • Horizontal Intercept:<\/strong>\u00a0The line intersects the x-axis at x = -4. This corresponds to the ordered pair\u00a0(-4, 0)<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Bottom-Left Graph (Horizontal Line):<\/strong>\n
          \n
        • Vertical Intercept:<\/strong>\u00a0This horizontal line is defined by the equation y = -5. It crosses the y-axis at -5. The intercept is\u00a0(0, -5)<\/strong>.<\/li>\n\n\n\n
        • Horizontal Intercept:<\/strong>\u00a0Because the line is horizontal and not the x-axis itself, it is parallel to the x-axis and will never cross it. Therefore, a horizontal intercept\u00a0Does Not Exist (DNE)<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
        • Bottom-Right Graph (Vertical Line):<\/strong>\n
            \n
          • Vertical Intercept:<\/strong>\u00a0This vertical line is defined by the equation x = -4. As it is parallel to the y-axis, it will never intersect it. Thus, a vertical intercept\u00a0Does Not Exist (DNE)<\/strong>.<\/li>\n\n\n\n
          • Horizontal Intercept:<\/strong>\u00a0The line crosses the x-axis at x = -4. The intercept is\u00a0(-4, <\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n
            \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"
            Horizontal and Vertical Intercepts from Graphs Determine the horizontal and vertical intercepts for each graph below Intercepts must be written aS ordered pairs: If an intercept does not exist, write DNE. Vertical Intercept: Horizontal Intercept: Vertical Intercept: Horizontal Intercept: 5+y 5 Vertical Intercept: Horizontal Intercept: Vertical Intercept: Horizontal Intercept: The Correct Answer and Explanation is: […]<\/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-233994","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233994","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=233994"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233994\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=233994"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=233994"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=233994"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}