# Find the Slope of the Perpendicular Line to the Line Through the Two Points (six , minus nine) , (zero , four)

Find the Slope of the Perpendicular Line to the Line Through the Two Points (6,-9) , (0,4)
,
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.
Clarify the numerator.
First, multiply by .
Clarify the denominator.
Multiply by .
Subtract from .
Put the negative in front of the fraction.
The slope of a perpendicular line is the negative reciprocal of the slope of the line that passes through the two given points.
Clarify .
The common factor should be canceled of and .
Should be rewritten as .
Move the negative in front of the fraction.
Multiply the numerator by the denominator's reciprocal.
Multiply by .
Multiply .
Multiply by .
Multiply by .
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