AlgebraVery hardParameter from a function's graph passing through a point
Algebra practice question
The graph of the linear function g(x) = kx − 7 passes through the point (3, 5). What is the value of g(−1)?
Answer: -11 or −11
5 = 3k − 7 gives k = 4, so g(x) = 4x − 7 and g(−1) = −4 − 7 = −11.
Common wrong answers
- If you answered 4
- 4 is k, not g(−1).
- If you answered 11
- 11 has the wrong sign.
- If you answered -3
- −3 comes from k = 4 but computing 4 − 7 (using x = 1 instead of −1).
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