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0580/13 May/Jun 2025, Question 10: Drawing Straight-Line Graphs

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 3 marks

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The question, in short

Compare lines y = 3x + 1 and y = 3x − 1 by choosing the correct description, then plot y = 2x − 1 on a grid from −5 to 5.

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

Part (a) · 1 mark

Select which statement correctly describes the relationship between line A (y = 3x + 1) and line B (y = 3x − 1).

  1. 1Both lines have gradient 3 but different y-intercepts (1 and −1)
  2. 2So line A is parallel to line B

AnswerCircle around the statement Line A is parallel to line B

Part (b) · 2 marks

Draw the straight-line graph of y = 2x − 1 on the given grid with axes from −5 to 5.

  1. 1When x = 0, y = −1; when x = 1, y = 1; when x = 2, y = 3; when x = −2, y = −5
  2. 2Plot (−2, −5), (0, −1), (1, 1), (2, 3) and join them with a ruled straight line across the grid (gradient 2, y-intercept −1)

AnswerCorrect graph of y = 2x − 1

Stuck on a step? Read the free lesson: Drawing Straight-Line Graphs

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Also searched as: 0580/13/M/J/25 · 0580_s25_qp_13 · 0580 s25 13 · question 10.
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