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Linear Equations in One Variable

SAT Math· difficulty 5/5

A line has slope −23-\frac{2}{3} and passes through the point of intersection of x+y=7x + y = 7 and 2x−y=22x - y = 2. What is the y-intercept of the line?

  • A

    5

  • B

    6

    check_circle
  • C

    8

  • D

    7

Explanation

Adding: 3x=93x = 9, so x=3x = 3 and y=4y = 4. Line: y−4=−23(x−3)y - 4 = -\frac{2}{3}(x - 3). At x=0x = 0: y=4+2=6y = 4 + 2 = 6.

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