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WAEC Further Mathematics 2014 Question 35

Question 35

Coordinate Geometry

If the points (−1, t − 1), (t, t − 3) and (t − 6, 3) lie on the same straight line, find the values of t.

  1. A.t = −2 and −3
  2. B.t = 2 and 3
  3. C.t = −2 and 3
  4. D.t = 2 and −3
Show the answer and explanation

Answer: B (t = 2 and 3)

Explanation

Equal gradients: −2/(t + 1) = (4 − t)/(t − 5), which gives t² − 5t + 6 = 0, so t = 2 or 3.