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JAMB Mathematics 2014 Question 36

Question 36

Coordinate Geometry

Find the equation of the straight line through (−2,3) and perpendicular to 4x + 3y − 5 = 0

  1. A.5x − 2y − 11 = 0
  2. B.3x − 4y + 18 = 0
  3. C.3x + 2y − 18 = 0
  4. D.4x + 5y + 3 = 0
Show the answer and explanation

Answer: B (3x − 4y + 18 = 0)

Explanation

The given line has gradient −4/3, so the perpendicular gradient is 3/4. y − 3 = ¾(x + 2) gives 4y − 12 = 3x + 6, i.e. 3x − 4y + 18 = 0.