Question

Which of the follow is the equation of a line perpendicular to y=2x-5 that passes through the point (2, -5)?

Answer 1

`D) y=-(1)/(2) x-4`

Explanation:

Perpendicular means the slope of the other line is the negative reciprocal.

Slope in y = 2x - 5 is 2.

Negative reciprocal of 2 is - 1/2 or - 0.5

y = - 0.5x + b

Substitute.

- 5 = - 0.5(2) + b

- 5 = - 1 + b

b = - 4

y = - 0.5x - 4