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WAEC Mathematics 2019 Question 35

Question 35

Coordinate Geometry

Find the equation of a straight line passing through the point (1, −5) and having gradient of 3/4.

  1. A.3x + 4y − 23 = 0
  2. B.3x + 4y + 23 = 0
  3. C.3x − 4y + 23 = 0
  4. D.3x − 4y − 23 = 0
Show the answer and explanation

Answer: D (3x − 4y − 23 = 0)

Explanation

y + 5 = (3/4)(x − 1). Multiply by 4: 4y + 20 = 3x − 3, so 3x − 4y − 23 = 0.