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Linear Graphs & Equations

Gradient, intercepts, and equations of straight lines — aligned to Edexcel IGCSE Graphs topics.

Mathematics · Graphs · Year 10 · 30 mins · 22 marks · 10 questions

Roribot practice packs aligned to Edexcel (and other) topic areas. These are not official Pearson, Cambridge, or exam-board past papers.

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What is the gradient of the line y = 2x − 5? (2 marks)

What is the y-intercept of y = −3x + 4? (2 marks)

A line passes through (0, 1) and (2, 7). What is its gradient? (2 marks)

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Full question list

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1. What is the gradient of the line y = 2x − 5? (2 marks)

  • −5
  • 2
  • 5
  • −2

2. What is the y-intercept of y = −3x + 4? (2 marks)

3. A line passes through (0, 1) and (2, 7). What is its gradient? (2 marks)

4. Find the equation of the line with gradient 4 that passes through (0, −1). (2 marks)

  • y = 4x − 1
  • y = 4x + 1
  • y = −4x − 1
  • y = x − 4

5. Does the point (3, 5) lie on the line y = 2x − 1? (2 marks)

  • Yes
  • No

6. Find the x-intercept of y = 3x − 6. (2 marks)

7. Two lines are parallel. One has equation y = 5x + 2. Which could be the other? (2 marks)

  • y = 5x − 7
  • y = −5x + 2
  • y = (1/5)x + 2
  • y = x + 5

8. A line has gradient −1/2 and y-intercept 3. Write its equation. (3 marks)

9. Find the midpoint of A(2, 4) and B(6, 10). (2 marks)

10. The distance between (1, 2) and (4, 6) is: (3 marks)

  • 3
  • 4
  • 5
  • 7
Show answer key
  • 1. 2
  • 2. 4
  • 3. 3
  • 4. y = 4x − 1
  • 5. Yes
  • 6. 2
  • 7. y = 5x − 7
  • 8. y = −(1/2)x + 3
  • 9. (4, 7)
  • 10. 5

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