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JAMB Mathematics 2011 Question 33

Question 33

Coordinate Geometry

Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4,2).

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

Answer: B (5y + 2x − 18 = 0)

Explanation

The line has gradient 5/2, so the perpendicular has gradient −2/5: y − 2 = −2/5 (x − 4), i.e. 5y + 2x − 18 = 0.