{"id":7850,"date":"2021-11-09T14:39:25","date_gmt":"2021-11-09T09:09:25","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7850"},"modified":"2021-11-09T14:43:57","modified_gmt":"2021-11-09T09:13:57","slug":"find-the-equation-of-line-joining-the-point-3-5-to-the-point-of-intersection-of-the-lines-4x-y-1-0-and-7x-3y-35-0","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-equation-of-line-joining-the-point-3-5-to-the-point-of-intersection-of-the-lines-4x-y-1-0-and-7x-3y-35-0\/","title":{"rendered":"Find the equation of line joining the point (3, 5) to the point of intersection of the lines 4x + y – 1 = 0 and 7x – 3y – 35 = 0."},"content":{"rendered":"

Solution :<\/h2>\n

On solving the equations 4x + y – 1 = 0 and 7x – 3y – 35 = 0 by using point of intersection formula, we get<\/p>\n

x = 2 and y = -7<\/p>\n

So, given lines intersect at (2, -7)<\/p>\n

Now, the equation of line joining the point (3, 5) and (2, -7) is<\/p>\n

\\(\\implies\\) y – 5 = \\(-7 – 5\\over 2 – 3\\)(x – 3)<\/p>\n

\\(\\implies\\) y – 5 = 12x – 36 \\(\\implies\\) 12x – y – 31 = 0<\/p>\n

is the required equation of line.<\/p>\n

\n

Similar Questions<\/h3>\n

Find the coordinates of the point of intersecton of the lines 2x \u2013 y + 3 = 0 and x + y \u2013 5 = 0.<\/a><\/p>\n

Find the equation of line parallel to y-axis and drawn through the point of intersection of the lines x \u2013 7y + 5 = 0 and 3x + y = 0.<\/a><\/p>\n

Find the equation of lines which passes through the point (3,4) and the sum of intercepts on the axes is 14.<\/a><\/p>\n

The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : On solving the equations 4x + y – 1 = 0 and 7x – 3y – 35 = 0 by using point of intersection formula, we get x = 2 and y = -7 So, given lines intersect at (2, -7) Now, the equation of line joining the point (3, 5) and (2, …<\/p>\n

Find the equation of line joining the point (3, 5) to the point of intersection of the lines 4x + y – 1 = 0 and 7x – 3y – 35 = 0.<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,48],"tags":[],"yoast_head":"\nFind the equation of line joining the point (3, 5) to the point of intersection of the lines 4x + y - 1 = 0 and 7x - 3y - 35 = 0.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/find-the-equation-of-line-joining-the-point-3-5-to-the-point-of-intersection-of-the-lines-4x-y-1-0-and-7x-3y-35-0\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the equation of line joining the point (3, 5) to the point of intersection of the lines 4x + y - 1 = 0 and 7x - 3y - 35 = 0.\" \/>\n<meta property=\"og:description\" content=\"Solution : On solving the equations 4x + y – 1 = 0 and 7x – 3y – 35 = 0 by using point of intersection formula, we get x = 2 and y = -7 So, given lines intersect at (2, -7) Now, the equation of line joining the point (3, 5) and (2, … Find the equation of line joining the point (3, 5) to the point of intersection of the lines 4x + y – 1 = 0 and 7x – 3y – 35 = 0. 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