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JAMB Mathematics 2012 Question 34

Question 34

Coordinate Geometry

Find the equation of the line through the points (−2,1) and (−½,4).

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

Answer: B (y = 2x + 5)

Explanation

Gradient = (4 − 1)/(−½ + 2) = 3/1.5 = 2. Then y − 1 = 2(x + 2), so y = 2x + 5.