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Linear Equations in One Variable

SAT Math· difficulty 4/5

A line passes through (−3,4)(-3, 4) and is parallel to the line through (1,−2)(1, -2) and (5,6)(5, 6). What is the equation of the line?

  • A

    y=2x−2y = 2x - 2

  • B

    y=2x+10y = 2x + 10

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  • C

    y=12x+112y = \frac{1}{2}x + \frac{11}{2}

  • D

    y=−2x−2y = -2x - 2

Explanation

Slope =(6−(−2))/(5−1)=2= (6 - (-2))/(5 - 1) = 2. Through (−3,4)(-3, 4): 4=2(−3)+b4 = 2(-3) + b, so b=10b = 10. Equation: y=2x+10y = 2x + 10.

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