Question

Find the equation for the line that passes through the point (−3,−3), and that is perpendicular to the line with the equation x=4.

Answer 1

y = - 3

Explanation:

x = 4 is a vertical line parallel to the y- axis

A line perpendicular to it will be a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates of the points the line passes through.

The line passes through (- 3, - 3) with y- coordinate - 3 , then

y = - 3 ← equation of perpendicular line