16Hit1600
AlgebraVery hardEvaluating a line through two points

Algebra practice question

The graph of the linear function f passes through the points (2, 5) and (6, −3) in the xy-plane. What is the value of f(10) + f(−2)?

Answer: 2

The slope is (−3 − 5)/(6 − 2) = −2, so f(x) = −2x + 9. Then f(10) = −11 and f(−2) = 13, and their sum is 2.

Common wrong answers

If you answered 13
13 is f(−2) alone.
If you answered -11
−11 is f(10) alone.
If you answered -2
−2 is the slope.

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