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Linear Functions

SAT Math· difficulty 4/5

If f(x)=ax+bf(x) = ax + b and f(2)=9f(2) = 9 and f(−1)=0f(-1) = 0, what is the value of aa?

  • A

    2

  • B

    3

    check_circle
  • C

    4

  • D

    1

Explanation

2a+b=92a + b = 9 and −a+b=0-a + b = 0 (so b=ab = a). Substituting: 2a+a=92a + a = 9, so a=3a = 3.

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