AlgebraHardValue of a parallel linear function
Algebra practice question
The linear function f has a graph that passes through (2, 5) and is parallel to the graph of y = −3x + 1. What is the value of f(−1)?
Answer: 14
Parallel means slope −3, so f(x) = −3x + b with 5 = −6 + b, b = 11. Then f(−1) = 3 + 11 = 14.
Common wrong answers
- If you answered 4
- 4 uses the y-intercept 1 from the given line.
- If you answered 8
- 8 uses slope 3 through (2, 5).
- If you answered -4
- −4 uses slope −3 but b = −1.
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