{"id":227171,"date":"2025-06-06T02:54:25","date_gmt":"2025-06-06T02:54:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227171"},"modified":"2025-06-06T02:54:27","modified_gmt":"2025-06-06T02:54:27","slug":"complete-the-table-and-then-graph-the-coordinates","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/complete-the-table-and-then-graph-the-coordinates\/","title":{"rendered":"Complete the table and then graph the coordinates."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Complete the table and then graph the coordinates. (c) M. Taliman<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Complete the table and then graph the coordinates. (c) M. Taliman<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/image-190-992x1024.png\" alt=\"\" class=\"wp-image-227172\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thanks for sharing the image!<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Correct Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The table shows patterns of <strong>+2 for x<\/strong> and <strong>+4 for y<\/strong>, so we can complete it using the following rules:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Start with any x-value (commonly 0 or 1), and increase x by 2 each time. For y, we increase by 4 each time. Let\u2019s assume we start with:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>x<\/th><th>y<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>2<\/td><\/tr><tr><td>3<\/td><td>6<\/td><\/tr><tr><td>5<\/td><td>10<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Now let\u2019s plot the points:<br><strong>(1,2), (3,6), and (5,10)<\/strong> on the coordinate grid.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">This exercise involves completing a table of values and plotting the resulting coordinate pairs on a graph. The pattern indicated is that each value in the x-column increases by <strong>+2<\/strong>, and each corresponding y-value increases by <strong>+4<\/strong>. This is a common way to explore linear relationships between variables.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s break it down:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Start with the first x-value. If we choose x=1x = 1, then we can use the pattern to continue:\n<ul class=\"wp-block-list\">\n<li>Next x: 1+2=31 + 2 = 3<\/li>\n\n\n\n<li>Next x: 3+2=53 + 2 = 5<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>For the y-values, we follow the +4 pattern:\n<ul class=\"wp-block-list\">\n<li>Start at y=2y = 2<\/li>\n\n\n\n<li>Next y: 2+4=62 + 4 = 6<\/li>\n\n\n\n<li>Next y: 6+4=106 + 4 = 10<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">This gives us the completed table:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>x<\/th><th>y<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>2<\/td><\/tr><tr><td>3<\/td><td>6<\/td><\/tr><tr><td>5<\/td><td>10<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Now, plot these points on the coordinate plane:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Point (1, 2) means go <strong>1 unit right<\/strong> and <strong>2 units up<\/strong>.<\/li>\n\n\n\n<li>Point (3, 6) is <strong>3 right, 6 up<\/strong>.<\/li>\n\n\n\n<li>Point (5, 10) is <strong>5 right, 10 up<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">After plotting, you\u2019ll see all three points line up perfectly. This shows that the relationship between x and y is <strong>linear<\/strong>. In fact, this is a visual representation of the equation: y=2xy = 2x<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Each x-value multiplied by 2 gives the y-value:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1\u00d72=21 \\times 2 = 2<\/li>\n\n\n\n<li>3\u00d72=63 \\times 2 = 6<\/li>\n\n\n\n<li>5\u00d72=105 \\times 2 = 10<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">This activity helps students understand patterns, coordinate plotting, and the idea of linear relationships in mathematics.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner7-258.jpeg\" alt=\"\" class=\"wp-image-227173\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Complete the table and then graph the coordinates. (c) M. Taliman The Correct Answer and Explanation is: Thanks for sharing the image! \u2705 Correct Answer: The table shows patterns of +2 for x and +4 for y, so we can complete it using the following rules: Start with any x-value (commonly 0 or 1), and [&hellip;]<\/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-227171","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227171","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=227171"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227171\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227171"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227171"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227171"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}