{"id":246129,"date":"2025-07-06T19:21:19","date_gmt":"2025-07-06T19:21:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=246129"},"modified":"2025-07-06T19:21:21","modified_gmt":"2025-07-06T19:21:21","slug":"graph-this-function-using-intercepts","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/06\/graph-this-function-using-intercepts\/","title":{"rendered":"‘Graph this function using intercepts"},"content":{"rendered":"\n

: 3X 8y -24 Click to select points on the graph: h0′<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To graph the equation 3x+8y=243x + 8y = 243x+8y=24 using intercepts, we will find the x-intercept<\/strong> and y-intercept<\/strong>.<\/p>\n\n\n\n

Step 1: Find the x-intercept<\/strong>.<\/h3>\n\n\n\n

The x-intercept occurs when y=0y = 0y=0. Substitute y=0y = 0y=0 into the equation:3x+8(0)=243x + 8(0) = 243x+8(0)=243x=243x = 243x=24x=243=8x = \\frac{24}{3} = 8x=324\u200b=8<\/p>\n\n\n\n

So, the x-intercept<\/strong> is (8,0)(8, 0)(8,0).<\/p>\n\n\n\n

Step 2: Find the y-intercept<\/strong>.<\/h3>\n\n\n\n

The y-intercept occurs when x=0x = 0x=0. Substitute x=0x = 0x=0 into the equation:3(0)+8y=243(0) + 8y = 243(0)+8y=248y=248y = 248y=24y=248=3y = \\frac{24}{8} = 3y=824\u200b=3<\/p>\n\n\n\n

So, the y-intercept<\/strong> is (0,3)(0, 3)(0,3).<\/p>\n\n\n\n

Step 3: Plotting the intercepts.<\/h3>\n\n\n\n

Now that we have the intercepts:<\/p>\n\n\n\n

    \n
  • x-intercept<\/strong>: (8,0)(8, 0)(8,0)<\/li>\n\n\n\n
  • y-intercept<\/strong>: (0,3)(0, 3)(0,3)<\/li>\n<\/ul>\n\n\n\n

    You can plot these two points on the graph:<\/p>\n\n\n\n

      \n
    1. The point (8,0)(8, 0)(8,0) on the x-axis.<\/li>\n\n\n\n
    2. The point (0,3)(0, 3)(0,3) on the y-axis.<\/li>\n<\/ol>\n\n\n\n

      Step 4: Draw the line.<\/h3>\n\n\n\n

      Now, draw a straight line through these two points. This line represents the equation 3x+8y=243x + 8y = 243x+8y=24.<\/p>\n\n\n\n

      Conclusion:<\/h3>\n\n\n\n
        \n
      • The equation 3x+8y=243x + 8y = 243x+8y=24 is a straight line.<\/li>\n\n\n\n
      • It intersects the x-axis at (8,0)(8, 0)(8,0) and the y-axis at (0,3)(0, 3)(0,3).<\/li>\n\n\n\n
      • The graph of the line passes through these two points, and you can use these intercepts to sketch the function.<\/li>\n<\/ul>\n\n\n\n
        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        : 3X 8y -24 Click to select points on the graph: h0′ The Correct Answer and Explanation is: To graph the equation 3x+8y=243x + 8y = 243x+8y=24 using intercepts, we will find the x-intercept and y-intercept. Step 1: Find the x-intercept. The x-intercept occurs when y=0y = 0y=0. Substitute y=0y = 0y=0 into the equation:3x+8(0)=243x […]<\/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-246129","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246129","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=246129"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246129\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246129"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246129"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246129"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}