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0580/31 May/Jun 2026, Question 27: Parallel Lines and Their Equations

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 2 marks

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The question, in short

Find the equation of the straight line that is parallel to y = 4x + 3 and goes through the point (2, 9).

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

Solution · 2 marks

  1. 1Parallel lines have the same gradient, m = 4
  2. 29 = 4 × 2 + c, so c = 1
  3. 3y = 4x + 1

Answery = 4x + 1

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