16Hit1600
AlgebraVery hardLinear function from a difference and an intercept

Algebra practice question

The linear function f satisfies f(4) − f(1) = 9 and f(0) = −2. What is the value of f(6)?

Answer: 16

A rise of 9 over 3 units gives slope 3, so f(x) = 3x − 2 and f(6) = 16.

Common wrong answers

If you answered 7
7 uses f(6) = f(1) + 9 with f(1) = −2.
If you answered 18
18 forgets the intercept −2.
If you answered 20
20 adds 2 instead of subtracting.

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