{"id":2423,"date":"2021-07-08T16:28:57","date_gmt":"2021-07-08T16:28:57","guid":{"rendered":"https:\/\/mathemerize.com\/?p=2423"},"modified":"2021-11-30T16:51:19","modified_gmt":"2021-11-30T11:21:19","slug":"find-slope-of-line","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-slope-of-line\/","title":{"rendered":"How to Calculate Slope of Line – Slope of Parallel Lines"},"content":{"rendered":"

How to Calculate Slope of Line<\/h2>\n

If given line makes an angle \\(\\theta\\) (0 \\(\\le\\) \\(\\theta\\) \\(\\le\\) 180 , \\(\\theta\\) \\(\\ne\\) 90) with positive\"slope direction of x-axis, then slope of line will be tan\\(\\theta\\) and is usually denoted by letter m.<\/p>\n

\n

i.e. m = tan\\(\\theta\\).<\/p>\n<\/blockquote>\n

Slope of line Passing Through Two Points Formula<\/strong><\/p>\n

If A(\\(x_1,y_1\\)) and B(\\(x_2,y_2\\)) are the two points on a straight line & \\(x_1\\) \\(\\ne\\) \\(x_2\\) then the formula for slope of line passing through two points is<\/p>\n

\n

m = \\(y_2-y_1\\over {x_2-x_1}\\).<\/p>\n<\/blockquote>\n

By using above formula, we can easily calculate the slope of line between two points.<\/p>\n\n\n

Example : <\/span> Find the slope of a line between the points A = (2, 0) and B = (4,6).<\/p>\n\n

Solution : <\/span>Here \\(x_1, y_1\\) = (2, 0) and \\(x_2, y_2\\) = (4, 6).

\nBy using slope of line formula,

\nm = \\(y_2-y_1\\over {x_2-x_1}\\) = \\(6-0\\over 4-2\\)

\nm = \\(6\\over 2\\)

\n\\(\\implies\\) m = 3.

\nHence slope of line is 3.<\/p>\n\n\n

Slope of Vertical Lines – Slope of Line Parallel to y-axis :<\/h2>\n

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane.<\/p>\n

\n

In this case, \\(\\theta\\)  = 90<\/p>\n

m = tan\\(\\theta\\) = tan 90 = \\(\\infty\\)<\/p>\n

i.e. m does not exist when the slope of line is parallel to y-axis.<\/p>\n<\/blockquote>\n

Slope of Horizontal Lines – Slope of Line Parallel to x-axis :<\/h2>\n

A horizontal line which is parallel to x-axis and goes straight, left and right in the coordinate plane.<\/p>\n

\n

In this case, \\(\\theta\\)  = 0<\/p>\n

m = tan\\(\\theta\\) = tan 0 = 0<\/p>\n

i.e. m = 0<\/p>\n<\/blockquote>\n

Slope of Parallel Lines :<\/h2>\n

Let \\(m_1\\) and \\(m_2\\) be slopes of two given lines,<\/p>\n

\n

then, \\(m_1\\) = \\(m_2\\)<\/p>\n<\/blockquote>\n

Slope of Perpendicular Lines :<\/h2>\n

Let \\(m_1\\) and \\(m_2\\) be slopes of two given lines,<\/p>\n

\n

then, \\(m_1\\) \\(\\times\\) \\(m_2\\) = -1<\/p>\n<\/blockquote>\n

Slope of Line Equation :<\/h2>\n

The slope of line equation is also called equation of line in slope form and is  written as<\/p>\n

\n

y = mx + c.<\/p>\n

where m is the slope of line and c is the intercept on y-axis.<\/p>\n<\/blockquote>\n\n\n

Example : <\/span> Find the slope of a line whose equation is y = 3x + 4.<\/p>\n\n

Solution : <\/span>Given equation is y = 3x + 4

\nComparing it with slope of line equation, y = mx + c

\nwe get, m = 3.<\/p>\n\n\n

Hope you learnt how to calculate slope of line, learn more concepts of straight lines and practice more questions to get ahead in the competition. Good luck!<\/p>\n\n\n

\n
Next – How to Find the Distance Between Two Parallel Lines<\/a><\/div>\n<\/div>\n\n\n\n
\n
Previous – Formula for Angle between Two Lines<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

How to Calculate Slope of Line If given line makes an angle \\(\\theta\\) (0 \\(\\le\\) \\(\\theta\\) \\(\\le\\) 180 , \\(\\theta\\) \\(\\ne\\) 90) with positive direction of x-axis, then slope of line will be tan\\(\\theta\\) and is usually denoted by letter m. i.e. m = tan\\(\\theta\\). Slope of line Passing Through Two Points Formula If A(\\(x_1,y_1\\)) …<\/p>\n

How to Calculate Slope of Line – Slope of Parallel Lines<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","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":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[32],"tags":[663,665,664,666],"yoast_head":"\nHow to Calculate Slope of Line - Slope of Parallel Lines<\/title>\n<meta name=\"description\" content=\"Learn what is slope of line and how to calculate slope of line with two points, slope of parallel and perpendicular lines here.\" \/>\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-slope-of-line\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to Calculate Slope of Line - 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