Hello,
Point-slope form is

.
Since they already give us the slope, which is 4, and a point from the equation, which is (4, -9),

and

. Then, we can substitute the values into our point-slope formula.
y - (-9) = 4(x - 4), which is equal to y + 9 = 4(x - 4).
Therefore, your final answer is
A, y + 9 = 4(x - 4).