Question

The graph of the line through (2, 3) that is perpendicular to the line with

equation y = -1 also goes through which point?
F (0, 1)
G (1, 4)
H (2, -4)
J (-2, 3)

Answer 1

H (2, -4)

Explanation:

The given line is a horizontal line, so a perpendicular will be a vertical line. Its equation will be of the form ...

x = constant

In order for that line to go through (2, 3), the constant must be the x-coordinate, 2. So, the perpendicular line to y=-1 is ...

x = 2.

It will go through any point with an x-coordinate of 2, but will not go through any point with any other x-coordinate. So, the appropriate answer choice is the point ...

(2, -4)