You have to substitute. So....
(-3,7): YES
y = -x + 4 y = 1/3x + 8
7 = - -3 + 4 7 = 1/3(-3) + 8
7 = 3 + 4 7 = -1 + 8
7 = 7 7 = 7
(0,8): NO
y = -x + 4 y = 1/3x + 8
8 = -0 + 4 8 = 1/3(0) + 8
8 = 4 8 = 0 + 8
8 = 8
(3,7): NO
y = -x + 4 y = 1/3x + 8
7 = -3 + 4 7 = 1/3(3) + 8
7 = 1 7 = 1 + 8
7 = 9
(0,4): NO
y = -x + 4 y = 1/3x + 8
4 = -0 + 4 4 = 1/3(0) + 8
4 = 4 4 = 0 + 8
4 = 8