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2007 AMC 12A Question 13

AMC12 · 2007 AMC 12A

Question 13

A piece of cheese is located at $(12,10)$ in a coordinate plane. A mouse is at $(4,-2)$ and is running up the line $y=-5x+18.$ At the point $(a,b)$ the mouse starts getting farther from the cheese rather than closer to it. What is $a+b?$
  1. $6$
  2. $10$
  3. $14$
  4. $18$
  5. $22$