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UI Post-UTME Mathematics 2023 (Model questions) Question 4

Question 4

Coordinate Geometry

What is the equation of the line passing through the point (1, −2) and perpendicular to y = 2x + 3?

  1. A.y = −2x + 4
  2. B.y = −2x − 1
  3. C.y = ½x + 3/2
  4. D.y = −½x − 3/2
Show the answer and explanation

Answer: D (y = −½x − 3/2)

Explanation

The perpendicular gradient is −1/2. y + 2 = −½(x − 1) gives y = −½x − 3/2.