AlgebraVery hardFinding a function value from the slope and another value
Algebra practice question
For a linear function h, h(3) = 10 and the graph of h has slope −4. What is the value of h(7)?
Answer: -6 or −6
From x = 3 to x = 7 is 4 units; the slope −4 gives a change of −16. h(7) = 10 − 16 = −6.
Common wrong answers
- If you answered 26
- 26 adds 16 instead of subtracting; the slope is negative.
- If you answered -18
- −18 is −4 × 7 + 10, treating 10 as the intercept.
- If you answered -28
- −28 is −4 × 7, ignoring the starting value.
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