{"id":169219,"date":"2024-11-19T06:04:33","date_gmt":"2024-11-19T06:04:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=169219"},"modified":"2024-11-19T06:04:36","modified_gmt":"2024-11-19T06:04:36","slug":"what-is-the-midpoint-between-3-1-and-8-6","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/19\/what-is-the-midpoint-between-3-1-and-8-6\/","title":{"rendered":"What is the midpoint between (3,-1) and (8,-6)"},"content":{"rendered":"\n<p>What is the midpoint between (3,-1) and (8,-6)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the midpoint between two points, you use the midpoint formula, which is:<\/p>\n\n\n\n<p>[<br>M = \\left( \\frac{x_1 + x_2}{2}, \\frac{y_1 + y_2}{2} \\right)<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( (x_1, y_1) ) is the first point (3, -1),<\/li>\n\n\n\n<li>( (x_2, y_2) ) is the second point (8, -6).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Solution:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the coordinates<\/strong> of the two points:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First point ( (x_1, y_1) = (3, -1) )<\/li>\n\n\n\n<li>Second point ( (x_2, y_2) = (8, -6) )<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Apply the midpoint formula<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For the x-coordinate of the midpoint:<br>[<br>\\frac{x_1 + x_2}{2} = \\frac{3 + 8}{2} = \\frac{11}{2} = 5.5<br>]<\/li>\n\n\n\n<li>For the y-coordinate of the midpoint:<br>[<br>\\frac{y_1 + y_2}{2} = \\frac{-1 + (-6)}{2} = \\frac{-7}{2} = -3.5<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Write the midpoint<\/strong>:<br>The midpoint is ( M = (5.5, -3.5) ).<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The midpoint of a line segment is the point that is equidistant from both endpoints. It is found by averaging the x-coordinates and the y-coordinates of the two points. This is useful for determining the central point between two locations on a plane, which could represent anything from finding the center of a route between two cities to dividing a geometric figure in half. The midpoint formula ensures that the result is precisely halfway along the line segment connecting the two points.<\/p>\n\n\n\n<p>In this case, the x-coordinates (3 and 8) average to 5.5, and the y-coordinates (-1 and -6) average to -3.5. Therefore, the midpoint between the points (3, -1) and (8, -6) is ( (5.5, -3.5) ).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the midpoint between (3,-1) and (8,-6) The Correct Answer and Explanation is: To find the midpoint between two points, you use the midpoint formula, which is: [M = \\left( \\frac{x_1 + x_2}{2}, \\frac{y_1 + y_2}{2} \\right)] Where: Step-by-Step Solution: Explanation: The midpoint of a line segment is the point that is equidistant from [&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-169219","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169219","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=169219"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169219\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=169219"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=169219"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=169219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}