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For what value of k are the points (k, 3), (2, 1) and (5, 7) collinear?

Competition practiceGeometry

A3
B4
C1
D2.5

Step-by-Step Solution

The slope from (2, 1) to (5, 7) is

\frac{6}{3} = 2

. The slope from (2, 1) to

(k

, 3) must also be 2:

\frac{2}{k - 2} = 2

, so

k = 3

.

Answer: A) 3

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