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JAMB Mathematics 1984 Question 11

Question 11

Coordinate Geometry

A variable point P(x,y) traces a graph in a two dimensional plane. (0,−3) is one position of P. If x increases by 1 unit, y increases by 4 units the equation of the graph is

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

Answer: D (y + 3 = 4x)

Explanation

The gradient is 4 and the line passes through (0, −3), so y = 4x − 3, i.e. y + 3 = 4x.