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

Respuesta :

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

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.