#### Answer

y=-4x+1

#### Work Step by Step

The original equation (x-4y=4) can be rewritten in terms of y as (y = x/4 - 1)
The slope of the perpendicular line must be the reciprocal and opposite sign as the original slope(1/4), so the slope must be -4.
So far, we have y = -4x + c
to find C, plug in the x and y values given (-1, 5), to find C as 1
therefore: y = -4x + 1