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Linear Equations in One Variable

SAT Math· difficulty 4/5

The line y=mx+by = mx + b passes through (2,5)(2, 5) and (−1,−4)(-1, -4). What is m+bm + b?

  • A

    4

  • B

    3

  • C

    2

    check_circle
  • D

    5

Explanation

m=5−(−4)2−(−1)=93=3m = \frac{5 - (-4)}{2 - (-1)} = \frac{9}{3} = 3. From 5=3(2)+b5 = 3(2) + b, b=−1b = -1. So m+b=3+(−1)=2m + b = 3 + (-1) = 2.

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