Which equation represents the line in the xy-plane that passes through (−2, 3) and is parallel to the line 3x + y = 4?

Question

Accepted Answer

A. y = −3x − 3. 3x + y = 4 has slope −3. Through (−2, 3): 3 = 6 + b, so b = −3.

Answer

B. y = −3x + 3 — b = 3 uses the point's y-coordinate as the intercept; check x = −2: 9 ≠ 3.

Answer

C. y = 3x + 9 — Slope 3 has the wrong sign.

Answer

D. y = (1/3)x + 11/3 — 1/3 is the perpendicular slope.

Algebra practice question