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0580/31 May/Jun 2025, Question 12: The Equation y = mx + c

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

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The question, in short

Given line L with equation y = 5x − 3, state its gradient and give the equation of a parallel line.

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

Part (a) · 1 mark

State the gradient of line L from its equation.

  1. 1y = mx + c, m = 5
  2. 2Gradient = 5

Answer5

Part (b) · 1 mark

Write an equation for a line that is parallel to L.

  1. 1Parallel lines have the same gradient, 5
  2. 2y = 5x + 1

Answery = 5x + k (k ≠ −3), e.g. y = 5x + 1

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Also searched as: 0580/31/M/J/25 · 0580_s25_qp_31 · 0580 s25 31 · question 12.
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