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Linear Functions

SAT Math· difficulty 4/5

Line ℓ\ell passes through (1,2)(1, 2) and (5,8)(5, 8). What is the slope of a line perpendicular to ℓ\ell?

  • A

    32\frac{3}{2}

  • B

    23\frac{2}{3}

  • C

    −32-\frac{3}{2}

  • D

    −23-\frac{2}{3}

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Explanation

Slope of ℓ=(8−2)/(5−1)=32\ell = (8-2)/(5-1) = \frac{3}{2}. Perpendicular slope is −23-\frac{2}{3}.

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