{"id":150484,"date":"2024-10-09T05:09:32","date_gmt":"2024-10-09T05:09:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=150484"},"modified":"2024-10-09T05:09:35","modified_gmt":"2024-10-09T05:09:35","slug":"what-is-the-slope-of-the-line-through-10-and-38","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/09\/what-is-the-slope-of-the-line-through-10-and-38\/","title":{"rendered":"What is the slope of the line through (1,0) and (3,8)"},"content":{"rendered":"\n<p>What is the slope of the line through (1,0) and (3,8)?<br>Choose 1 answer:<br>A)1\/4<br>B)4<br>C)-1\/4<br>D)-4<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p> The correct answer is: <strong>B) 4<\/strong><\/p>\n\n\n\n<p>To find the slope of a line through two points, we can use the formula for slope, given by:<\/p>\n\n\n\n<p>[<br>m = \\frac{y_2 &#8211; y_1}{x_2 &#8211; x_1}<br>]<\/p>\n\n\n\n<p>where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points. In this case, we have the points ((1, 0)) and ((3, 8)).<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Assign the coordinates:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Let ((x_1, y_1) = (1, 0))<\/li>\n\n\n\n<li>Let ((x_2, y_2) = (3, 8))<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Substitute into the slope formula:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, find (y_2 &#8211; y_1):<br>[<br>y_2 &#8211; y_1 = 8 &#8211; 0 = 8<br>]<\/li>\n\n\n\n<li>Next, find (x_2 &#8211; x_1):<br>[<br>x_2 &#8211; x_1 = 3 &#8211; 1 = 2<br>]<\/li>\n\n\n\n<li>Now, substitute these values into the slope formula:<br>[<br>m = \\frac{y_2 &#8211; y_1}{x_2 &#8211; x_1} = \\frac{8}{2} = 4<br>]<\/li>\n<\/ul>\n\n\n\n<p>Therefore, the slope of the line through the points ((1, 0)) and ((3, 8)) is (4).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of the Result<\/h3>\n\n\n\n<p>The slope of a line represents how steep the line is, indicating the rate of change in the (y)-coordinate for each unit change in the (x)-coordinate. A positive slope, like (4), indicates that as (x) increases, (y) also increases, meaning the line rises as it moves from left to right.<\/p>\n\n\n\n<p>In this scenario, for every unit increase in (x) (the horizontal distance), (y) increases by (4) units (the vertical distance). This steepness indicates a relatively rapid increase in (y) compared to the increase in (x).<\/p>\n\n\n\n<p>Understanding slope is crucial in various fields such as physics, engineering, and economics, where it can represent rates of change, trends, and predictions. In graphical representations, a slope of (4) means the line rises significantly, indicating a strong positive correlation between the variables represented by (x) and (y).<\/p>\n\n\n\n<p>Thus, the correct answer is <strong>B) 4<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the slope of the line through (1,0) and (3,8)?Choose 1 answer:A)1\/4B)4C)-1\/4D)-4 The Correct Answer and Explanation is : The correct answer is: B) 4 To find the slope of a line through two points, we can use the formula for slope, given by: [m = \\frac{y_2 &#8211; y_1}{x_2 &#8211; x_1}] where ((x_1, y_1)) [&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-150484","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150484","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=150484"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150484\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=150484"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=150484"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=150484"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}