{"id":305,"date":"2022-04-13T09:00:23","date_gmt":"2022-04-13T09:00:23","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=305"},"modified":"2025-08-20T01:28:47","modified_gmt":"2025-08-20T01:28:47","slug":"t-4-find-a-missing-coordinate-using-slope","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/t-4-find-a-missing-coordinate-using-slope\/","title":{"rendered":"T.4 Find a missing coordinate using slope"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Find a missing coordinate using slope<\/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\/DAGwOJ1FiDk\/znlHCFCVqigt3wm15WEcWw\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwOJ1FiDk&#x2F;znlHCFCVqigt3wm15WEcWw&#x2F;watch?utm_content=DAGwOJ1FiDk&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">T.4 Find a missing coordinate using slope<\/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<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-28d0705c3f65ac2a0650103e87662e67\" style=\"color:#000060\"><strong>Concept of Slope<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>slope<\/strong> of a line tells how steep the line is.<\/li>\n\n\n\n<li>Formula for slope between two points (x<sub>1<\/sub>,y<sub>1<\/sub>) and (x2,y<sub>2<\/sub>)):<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">m = y<sub>2<\/sub> \u2212 y<sub>1<\/sub> \/ x  \u2212 x<sub>1<\/sub><\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>m= slope<\/li>\n\n\n\n<li>(x<sub>1<\/sub>,y<sub>1<\/sub>) and (x<sub>2<\/sub>,y<sub>2<\/sub>) are two points on the line.<\/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-470cdc877e4b88027faf867405ac51b4\" style=\"color:#000060\"><strong>Finding a Missing Coordinate<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If <strong>one coordinate is missing<\/strong> (either xxx or yyy), substitute the known values into the slope formula and solve for the unknown.<\/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-6eac1585512593cdd7835289e6a254e9\" style=\"color:#000060\"><strong>Steps to Find a Missing Coordinate<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Write the slope formula<\/strong>: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><strong>m = y<sub>2<\/sub>\u2212y<sub>1<\/sub> \/ x<sub>2<\/sub>\u2212x<sub>1<\/sub><\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Substitute the known values<\/strong> of m , x<sub>1<\/sub> , y<sub>1<\/sub> , x<sub>2<\/sub> , y<sub>2<\/sub><\/li>\n\n\n\n<li><strong>Solve the equation<\/strong> for the missing coordinate.<\/li>\n\n\n\n<li><strong>Check your answer<\/strong> by substituting back into the formula.<\/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-11bc4c24e1bac5c4116e8ecc8904a038\" style=\"color:#000060\"><strong>Example 1: Missing y-coordinate<\/strong><\/h3>\n\n\n\n<p>Given: Slope m = 2 , points (3,4) and (7,y<sub>2<\/sub>)<\/p>\n\n\n\n<p>2 = y<sub>2<\/sub>\u22124 \/ 7\u22123<\/p>\n\n\n\n<p>2 = y<sub>2<\/sub>\u22124 \/ 4<\/p>\n\n\n\n<p>Multiply both sides by 4:<\/p>\n\n\n\n<p> 8 = y<sub>2<\/sub> \u2212 4<\/p>\n\n\n\n<p>y<sub>2<\/sub> = 12<\/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-8d6841e8852b22f43b24d7e15addcda5\" style=\"color:#000060\"><strong>Example 2: Missing x-coordinate<\/strong><\/h3>\n\n\n\n<p>Given: Slope m=\u22123 , points (x<sub>1<\/sub>,5) nd (8,2)<\/p>\n\n\n\n<p class=\"has-text-align-center\">\u22123 = 2\u22125 \/ 8\u2212x<sub>1<\/sub><\/p>\n\n\n\n<p class=\"has-text-align-center\">\u22123 = \u22123 \/ 8\u2212x<sub>1<\/sub><\/p>\n\n\n\n<p>Multiply both sides by (8\u2212x<sub>1<\/sub>)<\/p>\n\n\n\n<p>-3 (8\u2212x<sub>1<\/sub>) = \u22123<\/p>\n\n\n\n<p>\u221224 + 3x<sub>1<\/sub> = \u22123<\/p>\n\n\n\n<p>3x<sub>1<\/sub> = 21<\/p>\n\n\n\n<p>x<sub>1<\/sub> = 7<\/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-2b65499c1a4c49a0866c00b60f5209a9\" style=\"color:#000060\"><strong>Key Tips<\/strong><\/h3>\n\n\n\n<p>Always <strong>check for division by zero<\/strong>; slope is undefined if x<sub>1<\/sub> = x<sub>2<\/sub>.<\/p>\n\n\n\n<p>Pay attention to <strong>signs<\/strong> in subtraction.<\/p>\n\n\n\n<p>Use parentheses when substituting negative numbers.<\/p>\n\n\n\n<p>Slope can be <strong>positive, negative, zero, or undefined<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Positive slope<\/strong>: line rises left to right.<\/li>\n\n\n\n<li><strong>Negative slope<\/strong>: line falls left to right.<\/li>\n\n\n\n<li><strong>Zero slope<\/strong>: horizontal line.<\/li>\n\n\n\n<li><strong>Undefined slope<\/strong>: vertical line.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-3fefd20f8ce119a518e5f53333ab5486\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background\" style=\"background-color:#bde4f7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>A&nbsp;line that includes the points&nbsp;(1,t)&nbsp;and&nbsp;(3,10)&nbsp;has a slope of&nbsp;9.&nbsp;What is the value of&nbsp;t?<\/strong><\/p>\n\n\n\n<p>Take&nbsp;the slope formula and plug in the slope and both pairs of&nbsp;(x,&nbsp;y)&nbsp;coordinates. Then solve for&nbsp;t.<\/p>\n\n\n\n<p class=\"has-text-align-center has-background-background-color has-background has-large-font-size\">Slope =change in&nbsp;<em>y<\/em> \/ change in&nbsp;<em>x<\/em><\/p>\n\n\n\n<p>9 = 10-t \/3-1<\/p>\n\n\n\n<p>9 =10-t\/ 2<\/p>\n\n\n\n<p>2&#215;9 = 10-t<\/p>\n\n\n\n<p>18 = 10-t    <\/p>\n\n\n\n<p>8 = -t  [ <em>Subtract&nbsp;10&nbsp;from both&nbsp;sides<\/em>]<\/p>\n\n\n\n<p>-8 = t  [ <em>Divide&nbsp;both sides by&nbsp;<\/em>\u20131]<\/p>\n\n\n\n<p class=\"has-large-font-size\">The&nbsp;value of&nbsp;t&nbsp;is&nbsp;\u20138.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#c1f6c3\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-7853418ca9e3eae67297fc18ba928e4a\" style=\"color:#b00012\"><strong>The&nbsp;points&nbsp;(\u20136,q)&nbsp;and&nbsp;(\u20135,\u20137)&nbsp;fall on a line with a slope of&nbsp;\u20135.&nbsp;What is the value of&nbsp;q?<\/strong><\/p>\n\n\n\n<p>Take&nbsp;the slope formula and plug in the slope and both pairs of&nbsp;(x,&nbsp;y)&nbsp;coordinates. Then solve for q.<\/p>\n\n\n\n<p class=\"has-text-align-center has-background-background-color has-background has-large-font-size\">Slope =change in&nbsp;<em>y<\/em> \/ change in&nbsp;<em>x<\/em><\/p>\n\n\n\n<p>-5 = -7-q \/-5 -(-6)<\/p>\n\n\n\n<p>-5 =-7-q   [ <em>Simplify<\/em>]<\/p>\n\n\n\n<p>2 = -q   [<em>Add&nbsp;7&nbsp;to both&nbsp;sides<\/em>]<\/p>\n\n\n\n<p>-2 = q  [<em>Divide&nbsp;both sides by&nbsp;<\/em>\u20131]<\/p>\n\n\n\n<p class=\"has-large-font-size\">The&nbsp;value of&nbsp;q&nbsp;is&nbsp;\u20132.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#a3e4f3\"><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\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-489f1e7a1ec375d235817f5fe5832372\" style=\"color:#b00012\"><strong>A line with a slope of \u20139 passes through the points (9, \u2013 7) and (8,v). What is the value of v?<\/strong><\/p>\n\n\n\n<p>v=<\/p>\n<\/div><\/div>\n\n\n\n<p>Take the slope formula and plug in the slope and both pairs of (x, y) coordinates. Then solve for v.<\/p>\n\n\n\n<p>slope = change in y \/ change in x<\/p>\n\n\n\n<p>-9 = v &#8211; -7 \/ 8 &#8211; 9                Plug in \u20139, (9, \u2013 7), and (8,v)<\/p>\n\n\n\n<p>-9 = v + 7 \/ -1               <em>Simplify<\/em><\/p>\n\n\n\n<p>-9 = -v &#8211; 7               <em>Simplify<\/em><\/p>\n\n\n\n<p>-2 = -v               Add&nbsp;7&nbsp;to both&nbsp;sides<\/p>\n\n\n\n<p>2 = v            <em>Divide&nbsp;both sides by&nbsp;<\/em>-1<\/p>\n\n\n\n<p>The value of v is 2.<\/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<\/div><\/div>\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\/77922\/740\/518\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-114.png\" alt=\"\" class=\"wp-image-8042\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-114.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-114-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-114-150x150.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\/76846\/885\/789\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-123.png\" alt=\"\" class=\"wp-image-8043\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-123.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-123-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-123-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Find a missing coordinate using slope T.4 Find a missing coordinate using slope by Delta publications key notes: Concept of Slope m = y2 \u2212 y1 \/ x \u2212 x1 where: Finding a Missing Coordinate Steps to Find a Missing Coordinate m = y2\u2212y1 \/ x2\u2212x1 Example 1: Missing y-coordinate Given: Slope m = 2<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/t-4-find-a-missing-coordinate-using-slope\/\">Continue reading <span class=\"screen-reader-text\">&#8220;T.4 Find a missing coordinate using slope&#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-305","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/305","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=305"}],"version-history":[{"count":21,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/305\/revisions"}],"predecessor-version":[{"id":17545,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/305\/revisions\/17545"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=305"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}