Difference between revisions of "Point-slope form"

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==Point Slope Form==
 
==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 (<math>Ax+By=C</math>) and [[slope intercept form]] (<math>y=mx+b</math>).
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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>).
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==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.

Latest revision as of 17:52, 17 July 2024

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.