AlgebraHardPoint on a parallel line through the origin
Algebra practice question
In the xy-plane, line l passes through the points (4, −1) and (8, 5). Line m passes through the origin and is parallel to l. What is the y-coordinate of the point on line m whose x-coordinate is 6?
Answer: 9
Line l has slope 6/4 = 3/2, so m is y = (3/2)x, and at x = 6, y = 9.
Common wrong answers
- If you answered 2
- 2 uses the point (4, −1) as though it were on m.
- If you answered 4
- 4 uses slope 2/3.
- If you answered 6
- 6 assumes slope 1.
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