Question

Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
please show your work

Answer 1

Y=-2 is a horizontal straight line. The perpendicular line is going to be a vertical line (x=). Since it is vertical with no range, the line is a y-output of all numbers at any x input. So for the line to get to (4, -2) the x would need to be at 4, making the perpendicular line x=4

Answer 2

x=4-==========-----------------=======