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0580/12 Feb/Mar 2022, Question 13: The Equation y = mx + c

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks

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The question, in short

For the line y = 5x + 7, state its gradient, then find where it crosses the y-axis and where it crosses the x-axis.

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Part (a) · 1 mark

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

  1. 1y = mx + c: gradient m = 5

Answer5

Part (bi) · 1 mark

Find the coordinates where y = 5x + 7 meets the y-axis.

  1. 1Crosses y-axis when x = 0: y = 7
  2. 2(0, 7)

Answer(0, 7)

Part (bii) · 2 marks

Find the coordinates where y = 5x + 7 meets the x-axis.

  1. 1Crosses x-axis when y = 0: 0 = 5x + 7
  2. 2x = −7/5
  3. 3(−7/5, 0)

Answer(−7/5, 0)

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