Question

Find the equation for the line that passes through the point (-4,2) and that is perpendicular to the line with the equation x=-3

Answer 1

y = 2

Explanation:

x = - 3 is the equation of a vertical line parallel to the y- axis.

Thus a perpendicular line must be a horizontal line parallel to the x- axis with equation

y = c

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

The line passes through (- 4, 2) with y- coordinate 2, thus

y = 2 ← equation of perpendicular line