Question

Which of the following will be perpendicular to the line y = -1/4x + 10? Select all that apply. Please explain your answer choices.

a. y = 4x + 2
b. y = 1/4x - 9
c. y = -4x + 10
d. y = 4x - 5​

Answer 1

Perpendicular lines have slopes that are opposite signs and reciprocals.

Since the line y = -1/4x + 10 has a slope of -1/4, the slope of the perpendicular line will be + 4/1 or 4. So any line with a slope of 4 will be perpendicular to y = -1/4x + 10.

This means A and D will be your answers.