Find the Slope of the Perpendicular Line to the Line Through the Two Points (6,7) , (6,-6)

Slope is equal to the change in ${\displaystyle y}$ over the change in ${\displaystyle x}$, or rise over run.

The change in ${\displaystyle x}$ is equal to the difference in x-coordinates (also called run), and the change in ${\displaystyle y}$ is equal to the difference in y-coordinates (also called rise).

Substitute in the values of ${\displaystyle x}$ and ${\displaystyle y}$ into the equation to find the slope.

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

The slope of a line perpendicular to a vertical line is zero.