How do you find the slope that is perpendicular to the line x = 4?

May 28, 2017

Slope of the perpendicular to $x = 4$ is $0$

Explanation:

$x = 4$ is represented on the xy-plane by a vertical line through the point $\left(4 , 0\right)$ since $x = 4 \forall y \in \mathbb{R}$ on the xy-plane.

A perpendicular to this line is any horizontal line (i.e, any line parallel to the $x -$axis)

The slope of any line parallel to the $x -$axis $= 0$ by definition.

Hence, the slope of the perpendicular to $x = 4$ is $0$