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

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Answer 1 · 2017-05-28T09:03:21

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

$x=4$ is represented on the xy-plane by a vertical line through the point $(4, 0)$ since $x=4 forall y in RR$ 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 $0$

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