0580/21 May/Jun 2025, Question 6: Drawing Straight-Line Graphs
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 3 marks
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The question, in short
On a grid showing x + y = 7, draw the line y = 2x + 1 and use the graph to solve the two simultaneous equations.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
On the grid, draw the straight line y = 2x + 1.
- 1x = 0: y = 1; x = 1: y = 3; x = 3: y = 7
- 2Plot (0, 1), (1, 3), (3, 7) and draw a ruled line through them
AnswerCorrect line drawn
Part (b) · 1 mark
Using your graph, find the x and y values that solve both equations together.
- 1The lines cross at (2, 5)
- 2Check: 2 + 5 = 7 and 2 × 2 + 1 = 5
- 3x = 2, y = 5
Answer(1.9 to 2.1, 4.9 to 5.1)
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