16Hit1600
AlgebraVery hardDifference of two outputs from the slope

Algebra practice question

A linear function f satisfies f(2) = 9 and f(5) = 21. What is the value of f(8) − f(6)?

Answer: 8

The slope is (21 − 9)/(5 − 2) = 4, so f rises by 4 for each unit of x. From x = 6 to x = 8 is 2 units: 4 × 2 = 8.

Common wrong answers

If you answered 2
2 is the width of the interval, not the change in f.
If you answered 4
4 is the change per ONE unit of x; the interval is 2 units.
If you answered 12
12 is the change from x = 2 to x = 5, not from 6 to 8.

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