Incorrect

(0,2) is on the line. If the slope were –3, then (1,–1) would be on the line since = –3, but 5(–1) –3(1) + 10 since –5 7. So (1,–1) isn't on the line, and the slope isn't –3.

Correct!

The correct answer is B.

5y = –3x + 10
(5y) = (–3x + 10)
y = –x + 2

This is the slope-intercept form, y = mx + b, where m is the slope, so the slope is –.

Incorrect

(0,2) is on the line. If the slope were , then (3,7) would be on the line since = = , but 5(7) –3(3) + 10 since 35 1. So (3,7) isn't on the line, and the slope isn't .

Incorrect

(0,2) is on the line. If the slope were 2, then (1,4) would be on the line since = = 2, but 5(4) –3(1) + 10 since 20 7. So (1,4) isn't on the line, and the slope isn't 2.

Incorrect

(0,2) is on the line. If the slope were 10, then (1,12) would be on the line since = = 10, but 5(12) –3(1) + 10 since 60 7. So (1,12) isn't on the line, and the slope isn't 10.