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Linear Equations in One Variable

SAT Math· difficulty 5/5

The line through (1,k)(1, k) and (5,3k−4)(5, 3k - 4) has slope 32\frac{3}{2}. What is the value of kk?

  • A

    5

    check_circle
  • B

    1

  • C

    2

  • D

    3

Explanation

(3k−4)−k5−1=2k−44=32\frac{(3k - 4) - k}{5 - 1} = \frac{2k - 4}{4} = \frac{3}{2}. So 2k−4=62k - 4 = 6, giving k=5k = 5.

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