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Linear Equations in One Variable

SAT Math· difficulty 4/5

Line ℓ1\ell_1 has equation 3x+2y=103x + 2y = 10. Line ℓ2\ell_2 is perpendicular to ℓ1\ell_1 and passes through (6,1)(6, 1). What is the y-intercept of ℓ2\ell_2?

  • A

    −3-3

    check_circle
  • B

    3

  • C

    1

  • D

    −1-1

Explanation

Slope of ℓ1=−32\ell_1 = -\frac{3}{2}. Perpendicular slope is 23\frac{2}{3}. 1=23(6)+b1 = \frac{2}{3}(6) + b, so b=1−4=−3b = 1 - 4 = -3.

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