Question

Write an equation in slope-intercept form for the line that passes through (−3,0) and is perpendicular to the line described by y=4.

Answer 1

Answer:

$x=-3$.

Step-by-step explanation:

It is given that the line passing through (-3,0) and perpendicular to the line $y=4$.

We know that $y=4$ is a horizontal line and all vertical lines are perpendicular to a horizontal line.

A vertical line can not be written in slope-intercept form because slope of vertical line is infinite and it has no y-intercept.

A vertical line is in the form of $x=a$, where the line intersect the x-axis at (a,0).

Since the required line passing trough (-3,0), therefore the equation of required line is $x=-3$.