For the linear function h, h(0) = 9, and the value of h(x)... | SAT Linear functions Question, Answer Explained

Math · AlgebraEasy

For the linear function $h$ , $h(0) = 9$ , and the value of $h(x)$ decreases by $4$ each time $x$ increases by $1$ . What is the value of $h(6)$ ?

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Answer: -15

The slope is $-4$ and the $y$ -intercept is $9$ , so $h(x) = -4x + 9$ . Then $h(6) = -4(6) + 9 = -24 + 9 = -15$ .

Using a slope of $4$ instead of $-4$ gives $h(6) = 33$ . The values decrease, so the slope is negative.

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