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0580/11 Oct/Nov 2021, Question 19: The Equation y = mx + c

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks

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The question, in short

A straight line L is shown on a graph passing through (−2, −4) and (2, 8). Find the equation of L in the form y = mx + c.

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

Solution · 3 marks

  1. 1Line passes through (−2, −4) and (2, 8)
  2. 2Gradient = (8 − (−4)) ÷ (2 − (−2)) = 12 ÷ 4 = 3
  3. 3Crosses the y-axis at (0, 2), so c = 2
  4. 4y = 3x + 2

Answer3x + 2

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Also searched as: 0580/11/O/N/21 · 0580_w21_qp_11 · 0580 w21 11 · question 19.
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