JAMB Mathematics 1997 Question 33

Question 33

Coordinate Geometry

The angle between the positive horizontal axis and a given line is 135°. Find the equation of the line if it passes through the point (2, 3)

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

Answer: C (x + y = 5)

Explanation

Gradient = tan 135° = −1. So y − 3 = −(x − 2), which gives x + y = 5.