Answer: D) 4y-x=4
Explanation
To find an equation perpendicular to another, the product of the slopes of both equations must equal -1
In y= -4x-5, the slope is -4. To obtain a line perpendicular to this line, -4(x)= -1, where the slope of the new line, x, must equal 1/4.
D must be the answer since it is the only equation that could be manipulated back to y= 1/4x
1) 4y - x = 4
2) 4y = 4 + x
3) y = 1 + 1/4x
This corresponds correctly with the new slope that we found, therefore correct.
Hope this helped :)
