Question

If a line can be represented by the equation y + 2 = (1/3) (x - 12), which of the following sets of points lies on the line? (1 point)
(12, - 2) and (15, - 1)
(-12,2) and (-9, 3)
(12, - 2) and (13, 1)
(-12, 2) and (-11, 3)

Answer 1

Rewrite the line: y + 2 = (1/3)(x − 12) ⇒ y = (1/3)x − 6.

Check the pairs:
- (12, −2): y = 12/3 − 6 = 4 − 6 = −2 ✓
- (15, −1): y = 15/3 − 6 = 5 − 6 = −1 ✓

So the correct set is (12, −2) and (15, −1).