What is the gradient of the line y = 5x − 2?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Gradient of linear graphs Topical Past Papers.
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These Gradient of linear graphs Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Coordinate geometry (E3.3) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Find the gradient of a straight line from two points, from a grid, or from the equation y = mx + c.
What is the gradient of the line y = 5x − 2?
A line on a coordinate grid rises 4 units for every 2 units it moves to the right. State its gradient.
[1 mark]Find the gradient of the line passing through (1, 3) and (5, 11).
[2 marks]A line of gradient 3 passes through (2, 5) and (a, 14). Find the value of a.
[2 marks]Which line has a NEGATIVE gradient?
Find the gradient of the line through points A(−3, 4) and B(5, −2).
[2 marks]State whether the line slopes upwards or downwards from left to right.
[1 mark]A line has gradient −4 and passes through the point (3, 7). Find the y-intercept of the line.
[2 marks]Of the four lines y = 2x + 1, y = −3x, y = (1/2)x − 4 and y = −x + 6, which is the steepest? Give the gradient of the steepest line.
[2 marks]