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OAU Post-UTME Mathematics 2014 Question 17

Question 17

Coordinate Geometry

Find the equation of a line which passes through a point (−2, 3) and makes an angle of 45° with positive x-axis

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

Answer: A (y − x − 5 = 0)

Explanation

Gradient = tan 45° = 1. y − 3 = x + 2, so y − x − 5 = 0.