In the xy-plane, which of the following points lies on the graph of 3x − 2y = 12 and in quadrant IV?

Question

Accepted Answer

A. (2, −3). Quadrant IV has x > 0 and y < 0. Check (2, −3): 3(2) − 2(−3) = 6 + 6 = 12. ✓

Answer

B. (−2, −9) — (−2, −9) is on the line but in quadrant III (both coordinates negative).

Answer

C. (4, 0) — (4, 0) is on the line but lies on the x-axis, in no quadrant.

Answer

D. (6, 3) — (6, 3) is on the line but in quadrant I.

Algebra practice question