(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 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

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)