Difference between revisions of "Point-slope form"

(Created page with "==Point Slope Form== Point-slope form is a form of graphing the linear equation on the coordinate plane. It is one of the three common ways to represent lines as equations; th...")
 
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Point-slope form is a form of graphing the linear equation on the coordinate plane. It is one of the three common ways to represent lines as equations; the other two are standard form (<math>Ax+By=C</math>) and [[slope intercept form]] (<math>y=mx+b</math>).
 
Point-slope form is a form of graphing the linear equation on the coordinate plane. It is one of the three common ways to represent lines as equations; the other two are standard form (<math>Ax+By=C</math>) and [[slope intercept form]] (<math>y=mx+b</math>).
 
==Equation==
 
==Equation==
Given a point on a line in the coordinate plane, <math>(x_1,y_1)</math> and the slope of the line, <math>m</math>, the equation <math>y-y_1=m(x-x_1)</math> is satisfied for all points on the line.
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Given a point on a line in the coordinate plane, <math>(a,b)</math> and the slope of the line, <math>m</math>, the equation <math>y-b=m(x-a)</math> is satisfied for all points on the line.

Revision as of 14:14, 15 March 2020

Point Slope Form

Point-slope form is a form of graphing the linear equation on the coordinate plane. It is one of the three common ways to represent lines as equations; the other two are standard form ($Ax+By=C$) and slope intercept form ($y=mx+b$).

Equation

Given a point on a line in the coordinate plane, $(a,b)$ and the slope of the line, $m$, the equation $y-b=m(x-a)$ is satisfied for all points on the line.