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

,

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.

Clarify the numerator.

First, multiply by .

Add and .

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.

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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