Question

What is the equation of the line that is perpendicular to the line y = -4x + 3 and passes through the point (4, -1)?

A.y=1/4x+1
B. y=-4x-17
C. y= 1/4x-2
D. y= - 1/4x

Answer 1

A line perpend. to y = -4x + 3 has slope m = 1/4.

Thus, using y = mx + b,

-1 = (1/4)(4) + b and b = -2. Thus, y = (1/4)x - 2.

Answer 2

Your answer would be C. y = 1/4x - 2