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JAMB Mathematics 2005 Question 32

Question 32

Coordinate Geometry

Find the equation of the perpendicular at point (4, 3) to the line y + 2x = 5.

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

Answer: D (2y − x = 2)

Explanation

The line has gradient −2, so the perpendicular has gradient ½: y − 3 = ½(x − 4), which gives 2y − x = 2.