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JAMB Mathematics 2007 Question 44

Question 44

Coordinate Geometry

If the lines 2y − kx + 2 = 0 and y + x − k/2 = 0 intersect at (1, −2), find the value of k.

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

Answer: C (−2)

Explanation

Put (1, −2) into the first line: −4 − k + 2 = 0, so k = −2. It also fits the second line: −2 + 1 + 1 = 0.