The correct answer is D (3x - 4y = 4)
Step-by-step explanation:
Let (x1, y1) be (0, -1) and (x2, y2) be (-4, -4).
y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)
y + 1 = (- 4 + 1)/(- 4 - 0) * (x - 0)
y + 1 = (-3)/(-4) * x
y + 1 = (3/4)x
(y + 1) * 4 = 3x
4y + 4 = 3x
4 = 3x - 4y
3x - 4y = 4