{"id":333,"date":"2022-04-13T09:04:41","date_gmt":"2022-04-13T09:04:41","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=333"},"modified":"2025-08-20T01:46:12","modified_gmt":"2025-08-20T01:46:12","slug":"t-18-graph-a-horizontal-or-vertical-line","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/t-18-graph-a-horizontal-or-vertical-line\/","title":{"rendered":"T.18 Graph a horizontal or vertical line"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#02047c;text-transform:uppercase\"><strong>Graph a horizontal or vertical line<\/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\/DAGwIWj5xYc\/kXaerM_qKCoq0ggIWPPKEw\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwIWj5xYc&#x2F;kXaerM_qKCoq0ggIWPPKEw&#x2F;watch?utm_content=DAGwIWj5xYc&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">T.18 Graph a horizontal or vertical line<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-8436ba074b0e2fee7e8e98e45fdaf934\" style=\"color:#74008b\">Key notes<\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-ed714e496124040f474fc7ee858aa913\" style=\"color:#000060\"> Introduction<\/h3>\n\n\n\n<p>In coordinate geometry, horizontal and vertical lines are special types of straight lines that are easy to graph because their equations are simple.<\/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-19de9b5002a4c823ce937d5010f37ff7\" style=\"color:#000060\">Horizontal Lines<\/h3>\n\n\n\n<p><strong>Definition:<\/strong><br>A horizontal line runs left to right and is parallel to the x-axis.<\/p>\n\n\n\n<p><strong>Equation form:<\/strong> <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>y=c<\/strong><\/p>\n\n\n\n<p> where <strong>c<\/strong> is a constant (a fixed number).<\/p>\n\n\n\n<p><strong>Characteristics:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The y-coordinate is always the same for every point on the line.<\/li>\n\n\n\n<li>The slope of a horizontal line is 0.<\/li>\n<\/ul>\n\n\n\n<p><strong>Example:<\/strong><br>Equation: y=3<br>This means the line passes through all points where y = 3, such as (0,3), (2,3), (\u22124,3), etc.<\/p>\n\n\n\n<p><strong>Graphing steps:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw a horizontal line passing through y = 3 on the y-axis.<\/li>\n\n\n\n<li>The line extends infinitely left and right.<\/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-6543119975768168a0758346481d8508\" style=\"color:#000060\"> Vertical Lines<\/h3>\n\n\n\n<p><strong>Definition:<\/strong><br>A vertical line runs up and down and is parallel to the y-axis.<\/p>\n\n\n\n<p><strong>Equation form:<\/strong> <strong>x=k<\/strong> where<strong> k<\/strong> s a constant (a fixed number).<\/p>\n\n\n\n<p><strong>Characteristics:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The x-coordinate is always the same for every point on the line.<\/li>\n\n\n\n<li>The slope of a vertical line is undefined.<\/li>\n<\/ul>\n\n\n\n<p><strong>Example:<\/strong><br>Equation: x=\u22122<br>This means the line passes through all points where x = \u22122, such as (\u22122,0), (\u22122,5), (\u22122,\u22123), etc.<\/p>\n\n\n\n<p><strong>Graphing steps:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw a vertical line passing through x = \u22122 on the x-axis.<\/li>\n\n\n\n<li>The line extends infinitely up and down.<\/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-de1c67c70f092489beb2343ddf9cfb8f\" style=\"color:#000060\"> Summary Table<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Type of Line<\/th><th>Equation<\/th><th>Slope<\/th><th>Description<\/th><\/tr><\/thead><tbody><tr><td>Horizontal line<\/td><td>y=c<\/td><td>0<\/td><td>Parallel to x-axis<\/td><\/tr><tr><td>Vertical line<\/td><td>x=k<\/td><td>Undefined<\/td><td>Parallel to y-axis<\/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-87a7a844495c9b69da0797105eb2081b\" style=\"color:#000060\">Practice Questions<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Graph the line y=4 on the coordinate plane.<\/li>\n\n\n\n<li>Graph the line x=\u22121 on the coordinate plane.<\/li>\n\n\n\n<li>Identify if the line y=\u22125 is horizontal or vertical.<\/li>\n\n\n\n<li>What is the slope of the line x=0?<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f3a8a8\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-primary-color has-text-color has-link-color wp-elements-487d302936cb87c78ab667a5e7f71894\">Graph this equation:<br>y=2<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-31ce257d208edcb0bd8cf2e3d098e5d2\" style=\"color:#b00012\"><br>Click to select points on the graph.<\/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\/1-24-2.png\" alt=\"\" class=\"wp-image-11633\" style=\"width:452px;height:auto\"\/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>The equation y=2 tells you that every y-value is 2.<br>First plot some points that have a y-value of 2, such as (\u20133,2) and (\u20131,2).<\/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\/1-27.png\" alt=\"\" class=\"wp-image-11640\" style=\"width:484px;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\/1-28.png\" alt=\"\" class=\"wp-image-11641\" style=\"width:488px;height:auto\"\/><\/figure><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#a4edee\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-foreground-color has-text-color has-link-color wp-elements-9a019f9ef6791eaa0d05945e5eee8e3d\">Graph&nbsp;this&nbsp;equation:<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-48b36da41c7a16d07a98d1aaeea804ca\" style=\"color:#b00012\">Click to select points on the graph<\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">y=\u20136<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color\" style=\"color:#045601\">\ud83d\udca1The&nbsp;graph of&nbsp;y=\u20136&nbsp;is a horizontal line. Every&nbsp;y-value&nbsp;is&nbsp;\u20136,&nbsp;including the&nbsp;y-intercept.<\/p>\n\n\n\n<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>The&nbsp;equation&nbsp;y=\u20136&nbsp;tells you that every&nbsp;y-value&nbsp;is&nbsp;\u20136.<\/p>\n\n\n\n<p>First&nbsp;plot some points that have a&nbsp;y-value&nbsp;of&nbsp;\u20136,&nbsp;such as&nbsp;(\u20134,\u20136)&nbsp;and&nbsp;(5,\u20136).<\/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\/1-29-1.png\" alt=\"\" class=\"wp-image-11644\" style=\"width:438px;height:auto\"\/><\/figure><\/div>\n\n\n<p>Now&nbsp;draw a line connecting the&nbsp;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\/1-30.png\" alt=\"\" class=\"wp-image-11646\" style=\"width:474px;height:auto\"\/><\/figure><\/div><\/div><\/div>\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\/78262\/782\/992\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-127.png\" alt=\"\" class=\"wp-image-8082\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-127.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-127-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-127-150x150.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\/78272\/561\/932\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-136.png\" alt=\"\" class=\"wp-image-8083\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-136.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-136-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-136-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Graph a horizontal or vertical line T.18 Graph a horizontal or vertical line by Delta publications Key notes Introduction In coordinate geometry, horizontal and vertical lines are special types of straight lines that are easy to graph because their equations are simple. Horizontal Lines Definition:A horizontal line runs left to right and is parallel to<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/t-18-graph-a-horizontal-or-vertical-line\/\">Continue reading <span class=\"screen-reader-text\">&#8220;T.18 Graph a horizontal or vertical line&#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-333","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/333","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=333"}],"version-history":[{"count":22,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/333\/revisions"}],"predecessor-version":[{"id":17562,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/333\/revisions\/17562"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=333"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}