From given picture we see that line passes through two points (-1,5) and (1,-3).
We have to find equation of line in slope intercept form y=mx+b. So we can begin with finding slope (m) first using formula

Now plug the value of slope m=-4 and any one point say (1,-3) into point slope formula
, we get:
y--3=-4(x-1)
y+3=-4x+4
y=-4x+4-3
y=-4x+1
Hence final answer is D. y=-4x+1.