Question 604821
Your answer is correct.  However, I'm not sure I followed how you got there.
.
slope of (-4,1) and (-1,4):
m = (y2-y1)/(x2-x1)
m = (4-1)/(-1-(-4))
m = (4-1)/(-1+4)
m = 3/3
m = 1
.
plug slope (above) and one point (-4,1) into "point-slope" form:
y - y1 = m(x - x1)
y - 1 = 1(x - (-4))
y - 1 = 1(x + 4)
y - 1 = x + 4
y = x + 5