What line would be perpendicular to y − 3=4(x+2)?

Question

A. y − 3=−4(x+2)

B. y − 3=1/4(x+2)

C. y − 3=−1/4(x+2)

D. y − 3=4(x+2)

Answer 1

The given equation has a slope of 4.

A line perpendicular would have a slope that when multiplied by 4, would equal -1.

You can use an equation to find the slope you're looking for, with 4 being the slope you already have and you need to find what you can multiply by 4 to get -1.

4x = -1

Divide by 4 on both sides

x = -1/4

So you're looking for the equation that has a slope of -1/4, which in this case, is C: y - 3 = -1/4(x+2)