Question

Line EF has an equation of a line y = −2x + 7. Which of the following could be an equation for a line that is perpendicular to line EF?

Answer Choices:

y = 2x - 3

y = 1/2x - 3

y = -2x - 3

y = -1/2x - 3

Answer 1

y = 1/2x -3

Explanation:

The slope of the given line is the x-coefficient: -2. The slope of the perpendicular line is the negative reciprocal of this:

-1/(-2) = 1/2

The only answer choice with a slope of 1/2 is ...

y = 1/2x -3