JAMB Mathematics 2014 Question 35

Question 35

Coordinate Geometry

Calculate the mid point of the line segment y − 4x + 3 = 0 which lies between the x-axis and y-axis.

  1. A.(−2/3, 3/2)
  2. B.(3/8, −3/2)
  3. C.(3/8, 3/2)
  4. D.(−3/2, 3/2)
Show the answer and explanation

Answer: B ((3/8, −3/2))

Explanation

The line meets the y-axis where x = 0, at (0, −3), and the x-axis where y = 0, at (3/4, 0). The midpoint is (3/8, −3/2).