One way of knowing the answer is by substituting the values and see if it agrees with the equation.
y + 8 = 4(x - 5)
A.(5, -8).
-8 + 8 = 4(5 - 5)
0 = 0 ----> EQUAL and THE CORRECT ANSWER
B.(4, -8).
-8 + 8 = 4(4 - 5)
0 = -4 ----> NOT EQUAL
C.(-5, -8).
-8 + 8 = 4(-5 - 5)
0 = -40 ----> NOT EQUAL
D.(5, 8).
8 + 8 = 4(5 - 5)
16 = 0 ----> NOT EQUAL
E.(4, 5).
5 + 8 = 4(4 - 5)
13 = -4 ----> NOT EQUAL
F.(5, 0)
0 + 8 = 4(5 - 5)
8 = 0 ----> NOT EQUAL