If f(x) is a linear function, what is the value of n?xf(x)–4–25–1–10n20

The table gives the points (−4, −25) and (−1, −10). Because f is linear, its slope is constant: [−10 − (−25)] ÷ [−1 − (−4)] = 15 ÷ 3 = 5. To increase f(x) from −10 to 20, x must increase by 30 ÷ 5 = 6, so n = −1 + 6 = 5. The correct choice is 5.

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