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WAEC Further Mathematics 2024 Question 23

Question 23

Coordinate Geometry

The point P(−3, 5) lies on a line which is perpendicular to 2x − 4y + 3 = 0. Find the equation of the line.

  1. A.y − 2x − 11 = 0
  2. B.y − 2x − 1 = 0
  3. C.y + 2x + 1 = 0
  4. D.y + 2x + 11 = 0
Show the answer and explanation

Answer: C (y + 2x + 1 = 0)

Explanation

The given line has gradient ½, so the perpendicular has gradient −2. y − 5 = −2(x + 3) gives y + 2x + 1 = 0.