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

`x=-3`.

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`.