- A(0, 0), (2, 3) and (4, 7)
- B(−1, 1), (1, 5) and (3, 8)
- C(1, 2), (3, 6) and (5, 10)
- D(2, −1), (4, 3) and (6, 6)
Step-by-Step Solution
Three points are collinear when the slope between the first pair equals the slope between the second pair. For (1, 2), (3, 6), (5, 10) the slopes are (6 − 2)/(3 − 1) = 2 and (10 − 6)/(5 − 3) = 2, so they lie on one line. The other three sets each change slope: 1.5 then 2; 2 then 1.5; and 2 then 1.5 respectively.
Answer: C) (1, 2), (3, 6) and (5, 10)