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4024/22 May/Jun 2026, Question 5: The Gradient of a Straight Line

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 4 marks

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The question, in short

Using the plotted points A and B on a coordinate grid, find B's coordinates, the gradient of line AB, and the midpoint of AB.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

State the coordinates of point B as shown on the grid.

  1. 1B is 2 across and 3 down
  2. 2B = (2, −3)

Answer(2, −3)

Part (b) · 2 marks

Calculate the gradient of the line joining points A and B.

  1. 1A = (−4, −6), B = (2, −3)
  2. 2Gradient = (−3 − (−6))/(2 − (−4))
  3. 3= 3/6
  4. 4= 0.5

Answer0.5

Part (c) · 1 mark

Determine the coordinates of the midpoint of line segment AB.

  1. 1Midpoint = ((−4 + 2)/2, (−6 + (−3))/2)
  2. 2= (−1, −4.5)

Answer(−1, −4.5)

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