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2019 AMC 10B Problem 4

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2019 AMC 10B Problem 4AMC 10 Step by Step
Name:                             Date: September 13, 2026
Coordinate Geometry · difficulty 2 of 5 · about 2 min · position P1-10

All lines with equation ax+by=cax+by=c such that a,b,ca,b,c form an arithmetic progression pass through a common point. What are the coordinates of that point?

  1. A)

    (−1,2)(-1,2)

  2. B)

    (0,1)(0,1)

  3. C)

    (1,−2)(1,-2)

  4. D)

    (1,0)(1,0)

  5. E)

    (1,2)(1,2)

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