Explanation:
y=mx+b
m=slope
b=y-intercept
Note: In parallel lines the slopes are the same
so put in (-2,5) into the values for (x,y) in y=mx+b and -4 in for m.
5=(-4)(-2)+b
5=8+b
-3=b
So then we put that back into the original equation with the slope of -4
y=(-4)x-3
Hope that helps :)