# Precalculus Examples

Find the Slope of the Perpendicular Line to the Line Through the Two Points
,
Slope is equal to the change in over the change in , or rise over run.
The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).
Substitute in the values of and into the equation to find the slope.
Simplify.
Simplify the numerator.
Multiply by to get .
Subtract from to get .
Simplify the denominator.
Remove parentheses.
Multiply by to get .
Subtract from to get .
Divide by to get .
The slope of a perpendicular line is the negative reciprocal of the slope of the line that passes through the two given points.
Simplify .
Move the negative in front of the fraction.
Simplify .
Multiply by to get .
Multiply by to get .

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