16Hit1600
AlgebraEasyEvaluating a linear function from its slope and intercept

Algebra practice question

The graph of the linear function f in the xy-plane has a y-intercept of 4 and a slope of −2. What is the value of f(3)?

Answer: -2 or −2

A slope of −2 and y-intercept 4 give f(x) = −2x + 4. Then f(3) = −6 + 4 = −2.

Common wrong answers

If you answered 2
2 is 4 − 2, subtracting the slope once instead of 3 times. f(3) = 4 − 2 × 3.
If you answered 10
10 is 2(3) + 4, using a slope of +2. The slope is −2, so the function falls as x grows.
If you answered -6
−6 is −2 × 3 without the y-intercept. Add the 4: −6 + 4 = −2.

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