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JAMB Mathematics 2009 Question 32

Question 32

Coordinate Geometry

What is the value of p if the gradient of the line joining (−1, p) and (p, 4) is 2/3?

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

Answer: D (2)

Explanation

(4 − p)/(p + 1) = 2/3 gives 12 − 3p = 2p + 2, so 5p = 10 and p = 2.