AlgebraHardFunction value from two intercepts
Algebra practice question
The graph of a linear function has x-intercept 6 and y-intercept −4. What is the value of the function at x = 3?
Answer: -2
The slope is (0 − (−4))/(6 − 0) = 2/3, so f(x) = (2/3)x − 4 and f(3) = 2 − 4 = −2.
Common wrong answers
- If you answered 2
- 2 has the sign wrong.
- If you answered -1
- −1 uses slope 1.
- If you answered -6
- −6 subtracts instead of adding the slope term.
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