{"id":61,"date":"2022-04-13T09:52:46","date_gmt":"2022-04-13T09:52:46","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=61"},"modified":"2025-03-05T07:04:11","modified_gmt":"2025-03-05T07:04:11","slug":"d-4-find-a-missing-coordinate-using-slope","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-4-find-a-missing-coordinate-using-slope\/","title":{"rendered":"D.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<figure class=\"wp-block-video\"><video controls src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/class-10-D.4-Find-a-missing-coordinate-using-slope.mp4\"><\/video><\/figure>\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-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 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\/83146\/721\/816\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-20.png\" alt=\"\" class=\"wp-image-6635\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-20.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-20-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-20-150x150.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\/81818\/617\/204\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-22.png\" alt=\"\" class=\"wp-image-6636\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-22.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-22-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-22-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Find a missing coordinate using slope key notes: Slope =change in&nbsp;y \/ change in&nbsp;x Learn with an example 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? 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. Slope =change in&nbsp;y \/ change in&nbsp;x 9 = 10-t \/3-1<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/d-4-find-a-missing-coordinate-using-slope\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.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-61","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/61","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=61"}],"version-history":[{"count":17,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/61\/revisions"}],"predecessor-version":[{"id":17584,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/61\/revisions\/17584"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=61"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}