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0580/33 May/Jun 2026, Question 21: The Gradient of a Straight Line

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 3 marks

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The question, in short

Sketch the straight line y = 3x − 2 on the given axes, then work out the gradient of the straight line L shown on the grid.

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

Part (a) · 1 mark

Draw the graph of y = 3x − 2 on the axes provided.

  1. 1Gradient 3 is positive, so the line slopes upwards left to right
  2. 2y-intercept −2, so it crosses the y-axis below O
  3. 3Draw a straight line through (0, −2) sloping upwards

AnswerStraight line with positive gradient and negative y-intercept

Part (b) · 2 marks

Calculate the gradient of the straight line L shown on the grid.

  1. 1Choose two points on L: (2, 6) and (4, 1)
  2. 2Gradient = (1 − 6)/(4 − 2)
  3. 3= −5/2 = −2.5

Answer−2.5

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Also searched as: 0580/33/M/J/26 · 0580_s26_qp_33 · 0580 s26 33 · question 21.
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