Answer:
y - 3 = -4(x + 1).
Explanation:
First, calculate the slope (m) using the formula:
y - y1 = m(x - x1),
m = (y2 - y1) / (x2 - x1),
where (x1, y1) = (-1, 3)
(x2, y2) = (2, -9):
m = (-9 - 3) / (2 - (-1))
= (-12) / (3)
= -4.
Now substitute the values into the point-slope formula:
y - 3 = -4(x - (-1))
y - 3 = -4(x + 1).