16Hit1600
AlgebraVery hardLinear function perpendicular to a given line

Algebra practice question

The linear function f satisfies f(1) = 3, and the graph of f is perpendicular to the line y = (1/2)x + 7. What is the value of f(4)?

Answer: -3

Perpendicular to slope 1/2 means slope −2, so f(x) = −2x + 5 and f(4) = −3.

Common wrong answers

If you answered 3
3 assumes f is constant.
If you answered 4.5
4.5 uses the slope 1/2 instead of −2.
If you answered -8
−8 forgets the intercept 5.

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