Answer: y = 4x-3
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To get this answer, first note that the slope of the given line y = -1/4x+2 is m = -1/4. We take the slope -1/4 and flip the fraction, and then flip the sign. So we end up with 4/1 or just 4. The perpendicular slope is 4, which is part of the answer we want.
We have y = mx+b turn into y = 4x+b. Plug in (x,y) = (-2,-11) and then solve for b
y = 4x+b
-11 = 4*(-2)+b .... replace x with -2, replace y with -11
-11 = -8+b
-11+8 = -8+b+8 .... add 8 to both sides
-3 = b
b = -3
So y = 4x+b turns into y = 4x-3 which is the answer
