If f(x) = 10 - 4x...
f(18) = 10 - 4(18) = 10 - 72 = -62 ≠ -2
This rules out answer a, since (18,-62) would be a point, not (18,-2).
f(-18) = 10 - 4(-18) = 10 + 72 = 82 ≠ -2
This rules out answer b, since (-18,82) would be a point, not (-18,2).
f(-2) = 10 - 4(-2) = 10 + 8 = 18
Answer c seems to be ok so far, since (-2,18) is a point in answer c.
f(2) = 10 - 4(2) = 10 - 8 = 2 ≠ =18
This rules out answer d, since (2,2) would be a point, not (2,-18).
The only answer that wasn't ruled out by check the first point in each answer is answer C.