AlgebraMediumInput change from an output change and a slope
Algebra practice question
The graph of a linear function has slope 2/3. If the output of the function increases by 6, by how much does the input increase?
Answer: 9
Slope = change in output / change in input: 2/3 = 6/Δx → Δx = 9.
Common wrong answers
- If you answered 4
- 4 is 6 × 2/3, multiplying by the slope instead of dividing.
- If you answered 6
- 6 is the output change.
- If you answered 2/3
- 2/3 is the slope, not the input change.
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