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Linear Functions

SAT Math· difficulty 4/5

The line y=ax+by = ax + b passes through (2,5)(2, 5) and (−3,−10)(-3, -10). What is a+ba + b?

  • A

    44

  • B

    33

  • C

    00

  • D

    22

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Explanation

Slope a=(5−(−10))/(2−(−3))=15/5=3a = (5 - (-10))/(2 - (-3)) = 15/5 = 3. 5=6+b⇒b=−15 = 6 + b \Rightarrow b = -1. a+b=2a + b = 2.

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