We have,

y = 3x + 4 (i)

a. (1, 7) [putting x = 1 and y = 7 in (i)]

7 = 3(1) + 4

7 = 7

Thus, A lies on the line.

b. (2, 10) [putting x = 2 and y = 10 in (i)]

10 = 3(2) + 4

10 = 10

Thus, B lies on the line.

c. (-1, 1) [putting x = -1 and y = 1 in (i)]

1 = 3(-1) + 4

1 = 1

Thus, C lie on the line.

d. (4, 12) [putting x = 4 and y = 12 in (i)]

12 = 3(4) + 4

12 ≠ 16

Thus, D does not lie on the line.

∴ Option D is correct