16Hit1600
AlgebraMediumZero of a linear function from two values

Algebra practice question

A linear function f has f(0) = 4 and f(6) = 1. For what value of x is f(x) = 0?

Answer: 8

Slope = (1 − 4)/(6 − 0) = −1/2, so f(x) = 4 − (1/2)x. Set f(x) = 0: x = 8.

Common wrong answers

If you answered 4
4 is f(0), the y-intercept.
If you answered 6
6 is where f = 1, not 0.
If you answered -8
−8 has the wrong sign.

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