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WAEC Further Mathematics 2025 Question 6

Question 6

Coordinate Geometry

Find the equation of the line passing through points (1, 4) and (−2, 6).

  1. A.2x − 3y = 14
  2. B.2x + 5y = 14
  3. C.x + 3y = 14
  4. D.2x + 3y = 14
Show the answer and explanation

Answer: D (2x + 3y = 14)

Explanation

Gradient = (6 − 4)/(−2 − 1) = −2/3. y − 4 = −⅔(x − 1) gives 3y − 12 = −2x + 2, i.e. 2x + 3y = 14.