Hello from MrBillDoesMath!
Answer:
Choice D.
Discussion:
Substitute the values (5,7), (8,13) into the equations and see what we get..
A. (5,7). Does 3(5) -7 = 8. Yes
(8,13). Does 3(8)-13 = 8 ? No. Points (8.13) does NOT lie on the line
B. (5.7). Does 7 = 5 + 2. Yes.
(8,13). Does 13 = 8 +2 ? No. Points (8.13) does NOT lie on the line
C. (5,7). Does 7 -5 = 5 ? . No
(8,13). Does 13-8 = 5? Yes
D. (5.7). Does 7 = 2(5) - 3 ? Yes.
(8,13). Does 13 = 2(8) - 3? Yes
Only choice D has both points lying on the line.
Thank you,
MrB