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2019 AMC 10B Question 4

AMC10 · 2019 AMC 10B

Question 4

All lines with equation $ax+by=c$ such that $a,$ $b,$ $c$ form an arithmetic progression pass through a common point. What are the coordinates of that point?
  1. $ (-1,2) $
  2. $ (0,1) $
  3. $ (1,-2) $
  4. $ (1,0) $
  5. $ (1,2) $