Equations of linear graphs: past paper questions

Where the questions come from

• Question 20May/June 2026, paper 11Structured3 marks

  The diagram shows line $L$ on a grid. Find the equation of line $L$ in the form $y=mx+c$.

  Try this question
• Question 21Oct/Nov 2025, paper 31Structured3 marksHas a diagram

  The line $L$ is shown on the grid. Find the equation of the line $L$.

  Try this question
• Question 12Oct/Nov 2024, paper 13Structured1 mark

  Write down the equation of a line parallel to the line $y=2x$.

  Try this question
• Question 22Oct/Nov 2023, paper 12Structured5 marksHas a diagram

  Point $A$ and line $L$ are shown on the grid. Write down the coordinates of point $A$.

  Try this question
• Question 19May/June 2026, paper 12Structured4 marks

  Line $L$ has the equation $y=3x+7$. Write down the gradient of line $L$.

  Try this question
• Question 25Oct/Nov 2025, paper 32Structured5 marks

  The grid shows line L. Find the equation of line L in the form y = mx + c.

  Try this question
• Question 8Oct/Nov 2024, paper 32Structured15 marksHas a diagram

  Find the equation of line $L$ in the form $y=mx+c$.

  Try this question
• Question 27May/June 2026, paper 31Structured2 marks

  Find the equation of the line parallel to $y=4x+3$ that passes through $(2,9)$.

  Try this question
• Question 26Oct/Nov 2025, paper 33Structured3 marks

  Line $L$ is drawn on the grid. Find the equation of line $L$ in the form $y=mx+c$.

  Try this question
• Question 8Oct/Nov 2024, paper 33Structured11 marksHas a diagram

  Complete the table of values for $y=4x-x^2$.

  Try this question
• Question 12May/June 2025, paper 31Structured2 marks

  The equation of line $L$ is $y=5x-3$. Write down the gradient of line $L$.

  Try this question
• Question 13May/June 2024, paper 11Structured1 mark

  Find the coordinates of the point where the line $y=3x-5$ crosses the $y$-axis.

  Try this question
• Question 7May/June 2023, paper 32Structured13 marksHas a diagram

  Find the equation of line $L$.

  Try this question
• Question 15May/June 2025, paper 31Structured2 marks

  Write down the letter of the graph that shows these lines.

  Try this question
• Question 6May/June 2024, paper 32Structured14 marks

  Complete the table of values for $y=-x^2+8x+1$.

  Try this question
• Question 6May/June 2023, paper 33Structured12 marksHas a diagram

  Write down the equation of line $L$ in the form $y=mx+c$.

  Try this question
• Question 15May/June 2025, paper 32Structured2 marks

  The equation of a line is $y=-5x+7$. Write down the gradient of this line.

  Try this question
• Question 9May/June 2024, paper 33Structured12 marks

  Line $L$ has a gradient of 4 and passes through the point $(0,3)$. Write down the equation of line $L$ in the form $y=mx+c$.

  Try this question