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>). | + | 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>(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. | 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 (
) and slope intercept form (
).
Equation
Given a point on a line in the coordinate plane, 
and the slope of the line, 
, the equation 
is satisfied for all points on the line.
