0580/23 May/Jun 2026, Question 8: The Gradient of a Straight Line
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
A straight line L is drawn on a coordinate grid from −5 to 5. Find its gradient, then draw the line y − 2x + 3 = 0 on the same grid.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Work out the gradient of the line L shown on the grid.
- 1L passes through (0, 1) and (3, −1)
- 2Gradient = (−1 − 1)/(3 − 0) = −2/3
Answer−2/3
Part (b) · 2 marks
Draw the straight line y − 2x + 3 = 0 on the grid.
- 1Rearrange: y = 2x − 3
- 2Plot (0, −3), (1, −1), (3, 3)
- 3Join with a straight ruled line
AnswerCorrect line from at least (0, −3) to (3, 3)
Stuck on a step? Read the free lesson: The Gradient of a Straight Line
Practise more the gradient of a straight line questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on the gradient of a straight line
Also searched as: 0580/23/M/J/26 · 0580_s26_qp_23 · 0580 s26 23 · question 8.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.