Engineering Board Exam Reviewer · Slope of Line · medium
The points (a,1), (b,2) and (c,3) are collinear. Which of the following is true?
- c-b = c-a
- c-b = b-a
- c-a = a-b
- c-a = b-a
Answer
B. c-b = b-a
Solution
Since the three points are collinear, the slope between any two pairs must be equal: 2-1/b-a = 3-2/c-b, which simplifies to c-b=b-a.
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