Line k passes through (2, 7) and is parallel to the graph of 3x + y = 5. What is the y-coordinate of the point on line k where x = −1?

Question

Accepted Answer

A. 16. The given line has slope −3, so k is y = −3x + 13 (using the point (2, 7)). At x = −1, y = 3 + 13 = 16.

Answer

B. 10 — 10 uses slope +3; parallel to 3x + y = 5 means slope −3.

Answer

C. 8 — 8 is y on the original line 3x + y = 5 at x = −1, not on line k.

Answer

D. 4 — 4 comes from using the point (2, 7) as if it were (7, 2); recompute the intercept: 13.

Algebra practice question