# Find the Slope of the Perpendicular Line to the Line Through the Two Points (1,1) , (-1,7) (1,1) , (-1,7)
Slope is equal to the change in y over the change in x, or rise over run.
m=change in ychange in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=y2-y1x2-x1
Substitute in the values of x and y into the equation to find the slope.
m=7-(1)-1-(1)
Simplify.
Simplify the numerator.
Multiply -1 by 1.
m=7-1-1-(1)
Subtract 1 from 7.
m=6-1-(1)
m=6-1-(1)
Simplify the denominator.
Multiply -1 by 1.
m=6-1-1
Subtract 1 from -1.
m=6-2
m=6-2
Divide 6 by -2.
m=-3
m=-3
The slope of a perpendicular line is the negative reciprocal of the slope of the line that passes through the two given points.
mperpendicular=-1m
Simplify -1-3.
Move the negative in front of the fraction.
mperpendicular=13
Multiply –13.
Multiply -1 by -1.
mperpendicular=1(13)
Multiply 13 by 1.
mperpendicular=13
mperpendicular=13
mperpendicular=13
Find the Slope of the Perpendicular Line to the Line Through the Two Points (1,1) , (-1,7)

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