# Find the Slope of the Perpendicular Line to the Line Through the Two Points (nineteen divide four , two) , (minus three , six divide five)

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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.

First, multiply the numerator and denominator of the complex fraction by .

Multiply by .

Add.

Use the distributive law.

Clarify by cancelling.

The common factor should be canceled of .

Factor out of .

Cancel the common factor.

Reformulate the expression.

Multiply by .

The common factor should be canceled.

Move the leading negative in into the numerator.

Factor out of .

Cancel the common factor.

Should be rewritten the expression.

Multiply by .

Clarify the numerator.

Multiply by .

First, multiply by .

Subtract from .

Clarify the denominator.

Multiply by .

Subtract from .

Dividing two negative values results in a positive value.

The slope of a perpendicular line is the negative reciprocal of the slope of the line that passes through the two given points.

Multiply the numerator by the denominator's reciprocal.

Multiply by .

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