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Linear Functions

SAT Math· difficulty 5/5

The linear function ff has f(−2)=1f(-2) = 1 and f(4)=13f(4) = 13. What is the x-intercept of the graph of y=f(x)y = f(x)?

  • A

    −52-\frac{5}{2}

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  • B

    −72-\frac{7}{2}

  • C

    72\frac{7}{2}

  • D

    52\frac{5}{2}

Explanation

Slope =(13−1)/(4−(−2))=2= (13 - 1)/(4 - (-2)) = 2. f(x)=2x+bf(x) = 2x + b. From f(−2)=1f(-2) = 1: b=5b = 5. Set 2x+5=02x + 5 = 0: x=−52x = -\frac{5}{2}.

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