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0580/32 May/Jun 2025, Question 15: The Gradient of a Straight Line

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 2 marks

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The question, in short

For the line y = −5x + 7, state its gradient and give the coordinates where it meets the y-axis.

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

Part (a) · 1 mark

State the gradient of the line y = −5x + 7.

  1. 1y = mx + c with m = −5, so gradient = −5

Answer−5

Part (b) · 1 mark

Find the coordinates of the point where y = −5x + 7 crosses the y-axis.

  1. 1When x = 0, y = −5 × 0 + 7 = 7
  2. 2Crosses the y-axis at (0, 7)

Answer(0, 7)

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