{"id":331,"date":"2022-04-13T09:04:24","date_gmt":"2022-04-13T09:04:24","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=331"},"modified":"2025-08-20T01:44:56","modified_gmt":"2025-08-20T01:44:56","slug":"t-17-equations-of-horizontal-and-vertical-lines","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/t-17-equations-of-horizontal-and-vertical-lines\/","title":{"rendered":"T.17 Equations of horizontal and vertical lines"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Equations of horizontal and vertical lines<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwIDPifdY\/IfaHn_Cd6S3KmTuiWczn_g\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwIDPifdY&#x2F;IfaHn_Cd6S3KmTuiWczn_g&#x2F;watch?utm_content=DAGwIDPifdY&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">T.17 Equations of horizontal and vertical lines<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-04d9d6410ea0aa79bd5fd62d138d8458\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#000060\"><strong> What are Horizontal and Vertical Lines?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Horizontal line:<\/strong> A line that runs <strong>left to right<\/strong> and is parallel to the x-axis.<\/li>\n\n\n\n<li><strong>Vertical line:<\/strong> A line that runs <strong>up and down<\/strong> and is parallel to the y-axis.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-2da987d3a762b8df2407ab949ec331c9\" style=\"color:#000060\"><strong> Equation of a Horizontal Line<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All points on a horizontal line have the <strong>same y-coordinate<\/strong>.<\/li>\n\n\n\n<li>Equation is:<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><strong>y=k<\/strong><\/p>\n\n\n\n<p>where k is a constant (the y-value for all points on the line).<\/p>\n\n\n\n<p><strong>Example:<\/strong><br>y=3 means the line passes through all points with y=3, like (0, 3), (4,3), (-2, 3).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-4a26e5997af7008af8134666b4460087\" style=\"color:#000060\"><strong> Equation of a Vertical Line<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All points on a vertical line have the <strong>same x-coordinate<\/strong>.<\/li>\n\n\n\n<li>Equation is:<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><strong>x=h<\/strong><\/p>\n\n\n\n<p>where hhh is a constant (the x-value for all points on the line).<\/p>\n\n\n\n<p><strong>Example:<\/strong><br>x=\u22122 means the line passes through all points with x=\u22122, like (-2, 0), (-2, 5), (-2, -3).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-2bbb1f59e977f3e5c24190aba54e749c\" style=\"color:#000060\"><strong>Characteristics<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Line Type<\/th><th>Equation<\/th><th>Slope<\/th><th>Intercepts<\/th><\/tr><\/thead><tbody><tr><td>Horizontal line<\/td><td>y=k<\/td><td>Slope m=0<\/td><td>y-intercept = k no x-intercept (unless k=0<\/td><\/tr><tr><td>Vertical line<\/td><td>x=h<\/td><td>Slope is undefined<\/td><td>x-intercept = h, no y-intercept (unless h=0)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-708bdb35e66b8e1771e91a3862713bbe\" style=\"color:#000060\"><strong> Graphing Horizontal and Vertical Lines<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Horizontal line:<\/strong> Draw a straight line through y=k parallel to the x-axis.<\/li>\n\n\n\n<li><strong>Vertical line:<\/strong> Draw a straight line through x=h parallel to the y-axis.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-4296f65c8b4a07a8a24094a67fa70a35\" style=\"color:#000060\"><strong> Examples<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write the equation of a horizontal line passing through (2, 5):<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><strong>y=5<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write the equation of a vertical line passing through (-3, 4):<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><strong>x=\u22123<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-3531c513f944cf9048d769526a3e7802\" style=\"color:#000060\"><strong> Practice<\/strong><\/h3>\n\n\n\n<p>Write the equation of:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>A horizontal line through (6, -1)<\/li>\n\n\n\n<li>A vertical line through (0, 3)<\/li>\n\n\n\n<li>A horizontal line through (-4, 0)<\/li>\n\n\n\n<li>A vertical line through (7, -5)<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-text-color has-link-color wp-elements-d1a5eb4de8623c771223520db4dee963\" style=\"color:#105000\">Learn with an example<\/h3>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#a4d1e7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-9e652174bb2a553fdbebe425eca8bdc5\" style=\"color:#b00012\">Is the graph of this equation a horizontal or vertical line?<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><em>x<\/em>&nbsp;=&nbsp;-1<\/p>\n<\/div><\/div>\n\n\n\n<p>The equation&nbsp;<em>x<\/em>&nbsp;=&nbsp;-1 tells you that every&nbsp;<em>x<\/em>-value&nbsp;is&nbsp;-1.<\/p>\n\n\n\n<p>First plot some points that have an&nbsp;<em>x<\/em>-value&nbsp;of&nbsp;-1.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-42.png\" alt=\"\" class=\"wp-image-11763\" style=\"width:392px;height:auto\"\/><\/figure><\/div>\n\n\n<p>Now draw a line connecting the points.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-41.png\" alt=\"\" class=\"wp-image-11761\" style=\"width:418px;height:auto\"\/><\/figure><\/div>\n\n\n<p>The graph of&nbsp;<em>x<\/em>&nbsp;=&nbsp;-1 is a vertical line.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f7baf3\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-9e652174bb2a553fdbebe425eca8bdc5\" style=\"color:#b00012\">Is the graph of this equation a horizontal or vertical line?<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><em><em>y<\/em>&nbsp;= 8<\/em><\/p>\n<\/div><\/div>\n\n\n\n<p>The equation&nbsp;<em>y<\/em>&nbsp;= 8 tells you that every&nbsp;<em>y<\/em>-value&nbsp;is 8.<\/p>\n\n\n\n<p>First plot some points that have a&nbsp;<em>y<\/em>-value&nbsp;of 8.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-43.png\" alt=\"\" class=\"wp-image-11766\" style=\"width:462px;height:auto\"\/><\/figure><\/div>\n\n\n<p>Now draw a line connecting the points.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-44.png\" alt=\"\" class=\"wp-image-11767\" style=\"width:476px;height:auto\"\/><\/figure><\/div>\n\n\n<p>The graph of&nbsp;<em>y<\/em>&nbsp;= 8 is a horizontal line.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s Practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/78261\/263\/905\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-128.png\" alt=\"\" class=\"wp-image-8085\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-128.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-128-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-128-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/78271\/910\/860\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-137.png\" alt=\"\" class=\"wp-image-8086\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-137.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-137-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-137-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#bb2727\"><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Equations of horizontal and vertical lines T.17 Equations of horizontal and vertical lines by Delta publications key notes: What are Horizontal and Vertical Lines? Equation of a Horizontal Line y=k where k is a constant (the y-value for all points on the line). Example:y=3 means the line passes through all points with y=3, like (0,<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/t-17-equations-of-horizontal-and-vertical-lines\/\">Continue reading <span class=\"screen-reader-text\">&#8220;T.17 Equations of horizontal and vertical lines&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-331","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/331","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=331"}],"version-history":[{"count":19,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/331\/revisions"}],"predecessor-version":[{"id":17560,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/331\/revisions\/17560"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}