{"id":226916,"date":"2025-06-05T16:57:53","date_gmt":"2025-06-05T16:57:53","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226916"},"modified":"2025-06-05T16:57:54","modified_gmt":"2025-06-05T16:57:54","slug":"what-is-the-midpoint-of-fb","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/what-is-the-midpoint-of-fb\/","title":{"rendered":"What is the midpoint of FB"},"content":{"rendered":"\n<p>What is the midpoint of FB? A F G H L -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 B point A point G point H point L<\/p>\n\n\n\n<p><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>To find the <strong>midpoint of line segment FB<\/strong>, we need the coordinates of points <strong>F<\/strong> and <strong>B<\/strong> from the given number line:<\/p>\n\n\n\n<p>From the number line:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>F is located at <strong>-9<\/strong><\/li>\n\n\n\n<li>B is located at <strong>9<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Solution:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Use the midpoint formula<\/h4>\n\n\n\n<p>The formula for the midpoint MM between two points x1x_1 and x2x_2 on a number line is: M=x1+x22M = \\frac{x_1 + x_2}{2}<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Plug in the coordinates<\/h4>\n\n\n\n<p>M=\u22129+92=02=0M = \\frac{-9 + 9}{2} = \\frac{0}{2} = 0<\/p>\n\n\n\n<p>So, the <strong>midpoint of FB is 0<\/strong>.<\/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>The concept of a midpoint is foundational in both geometry and algebra. It refers to the point that lies exactly halfway between two other points on a number line or coordinate plane. In this problem, you are given a horizontal number line that ranges from -9 to 9, with several labeled points, including F at -9 and B at 9.<\/p>\n\n\n\n<p>To determine the midpoint of segment FB, we apply the <strong>midpoint formula<\/strong> for a number line: Midpoint=x1+x22\\text{Midpoint} = \\frac{x_1 + x_2}{2}<\/p>\n\n\n\n<p>This formula adds the two endpoints and divides the sum by 2 to find the average location between them. In this case, point F is at -9 and point B is at 9. Substituting into the formula: \u22129+92=02=0\\frac{-9 + 9}{2} = \\frac{0}{2} = 0<\/p>\n\n\n\n<p>Thus, the midpoint is at <strong>0<\/strong>, which means it lies right at the center of the number line.<\/p>\n\n\n\n<p>Understanding midpoints is useful in many real-life applications, such as construction, mapping, and computer graphics, where precise central positioning is essential. It also helps in understanding symmetry and balance in both physical and mathematical contexts.<\/p>\n\n\n\n<p>In this example, since F and B are on opposite ends of a symmetric number line, the midpoint logically falls at 0\u2014the exact center. No matter how far apart the points are, the midpoint formula gives a consistent method to find the halfway mark. Therefore, the midpoint of segment FB is <strong>0<\/strong>.<\/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-banner4-490.jpeg\" alt=\"\" class=\"wp-image-226917\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the midpoint of FB? A F G H L -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 B point A point G point H point L The Correct Answer and Explanation is: To find the midpoint of line segment FB, we need [&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-226916","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226916","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=226916"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226916\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}