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WAEC Mathematics 2010 Question 39

Question 39

Coordinate Geometry

The table is for the relation y = mx + c where m and c are constants.
x: 0, 2, 4, 6
y: 1, 2, 3, 4
What is the equation of the line described in the table?

  1. A.y = 2x
  2. B.y = x + 1
  3. C.y = x
  4. D.y = ½x + 1
Show the answer and explanation

Answer: D (y = ½x + 1)

Explanation

When x = 0, y = 1, so c = 1. y rises by 1 when x rises by 2, so m = ½: y = ½x + 1.