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Learning objective

Interpret and derive the equation of a straight line from various forms, such as ax + by = c and y = mx + c, as well as from a given graph. This includes determining the gradient and y-intercept from an equation, for example, finding the gradient and y-intercept for the equation 5x + 4y = 8. Ensure that equations of a line are presented in fully simplified form.

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Cambridge IGCSE MathematicsExtended Coordinate geometrySupplement content

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Quick explanation

Interpret and derive the equation of a straight line from various forms, such as ax + by = c and y = mx + c, as well as from a given graph. This includes determining the gradient and y-intercept from an equation, for example, finding the gradient and y-intercept for the equation 5x + 4y = 8. Ensure that equations of a line are presented in fully simplified form

  • This point belongs to Equations of linear graphs, especially Equations of linear graphs outcomes.
  • You need to be able to interpret and derive the equation of a straight line from various forms, such as ax + by = c and y = mx + c, as well as from a given graph. This includes determining the gradient and y-intercept from an equation, for example, finding the gradient and y-intercept for the equation 5x + 4y = 8. Ensure that equations of a line are presented in fully simplified form.
  • The key ideas to know are Determine, Explain, and State.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

DetermineExplainStateWork out

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

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Paper 2 structured question: Equations of linear graphs

Paper 2Core or Extended Mathematics3 marks

Description

Line Equation

The equation of a straight line is given as 5x + 4y = 8.

  1. a

    Calculate the gradient of the line.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Calculate the y-intercept of the line.

    Aim for approximately 1 distinct marking point.

    [1]
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