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

Find the Slope of the Perpendicular Line to the Line Through the Two Points (19/4,2) , (-3,6/5)
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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.
Simplify.
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First, multiply the numerator and denominator of the complex fraction by .
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Multiply by .
Add.
Use the distributive law.
Clarify by cancelling.
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The common factor should be canceled of .
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Factor out of .
Cancel the common factor.
Reformulate the expression.
Multiply by .
The common factor should be canceled.
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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.
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Multiply by .
First, multiply by .
Subtract from .
Clarify the denominator.
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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.
Simplify .
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Multiply the numerator by the denominator's reciprocal.
Multiply by .
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