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For what value of k are the points A(2, 3), B(4, k) and C(6, −3) collinear?

Competition practiceGeometry
  • A3
  • B1
  • C−1
  • D0

Step-by-Step Solution

Slope of AC = (−3 − 3)/(6 − 2) = −6/4 = −3/2. For collinearity, slope of AB must match: (k − 3)/(4 − 2) = −3/2, so k − 3 = −3 and k = 0.
Answer: D) 0

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