Question

Write an equation of the line that passes through the point (2, 3) and is perpendicular to the line x = -1.

A) y = 1
B) y = 3
C) y = 0
D) y = -3

Answer 1

y = 3

Explanation:

x = -1 is a vertical line.

Perpendicular to it, would be a horizontal line which has an equation of the form:

y = c

Since it passes through (2,3), c = 3

Hence the equation is:

y = 3

Answer 2

B) y = 3

Explanation:

x = -1 is a vertical line. We want a line that is perpendicular, so it must be a horizontal line. Horizontal lines are in the form y=

The point it goes through is (2,3) so it goes through the y coordinate y=3

Therefore the line must be y=3