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Free Year 9 Linear Relationships & Graphs Worksheets

1 free linear relationships & graphs resources for Year 9: 1 study guide. Answers included.

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Gradient, intercepts and graphing straight lines. In Year 9, Year 9 students solve more complex equations, work with linear graphs, meet Pythagoras' theorem and trigonometry, and expand binomials.

Students will practise: understanding gradient as rise over run and the y-intercept as the value of y when x = 0; calculating the gradient of a line through two points; finding the equation of a line from its gradient and a point, or from two points; sketching a line from its equation using the intercept and gradient.

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Linear Graphs: Gradient and Intercept

    Explains the y = mx + c form of a straight line for Year 9: what the gradient and y-intercept mean, how to calculate the gradient from two…

    Difficulty
    Level 2 · Standard
    Time
    20 min

Common questions

What do Year 9 students learn about linear relationships & graphs?

Gradient, intercepts and graphing straight lines. At Year 9, our resources focus on: understanding gradient as rise over run and the y-intercept as the value of y when x = 0; calculating the gradient of a line through two points; finding the equation of a line from its gradient and a point, or from two points; sketching a line from its equation using the intercept and gradient.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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