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Learning objective

Create straight-line graphs for linear equations that are presented in various forms, such as y = -2x + 5, y = 7 - 4x, or 3x + 2y = 5.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended Coordinate geometrySupplement content

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Quick explanation

Create straight-line graphs for linear equations that are presented in various forms, such as y = -2x + 5, y = 7 - 4x, or 3x + 2y = 5

  • This point belongs to Drawing linear graphs, especially Drawing linear graphs outcomes.
  • You need to be able to create straight-line graphs for linear equations that are presented in various forms, such as y = -2x + 5, y = 7 - 4x, or 3x + 2y = 5.
  • The key ideas to know are Plot, Sketch, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

PlotSketchShowConstruct

Why it matters

This objective helps connect Drawing linear graphs outcomes to exam-style questions, flashcards, and revision notes for Drawing linear graphs.

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Flashcards10 linked cards

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Practice Questions7 linked questions

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Paper 2 structured question: Drawing linear graphs

Paper 2Core or Extended Mathematics4 marks

Description

Graph the equation y = -2x + 5

You are given the linear equation y = -2x + 5. Use this equation to plot the graph on a coordinate plane.

  1. a

    Plot Plot the graph of the equation y = -2x + 5 by finding the y-intercept and one other point using the slope. Show your working.

    Aim for approximately 4 distinct marking points.

    [4]
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