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Cambridge IGCSE Mathematics practice

MCQ practice - 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. - Equations of linear graphs

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Show answerEquations of linear graphs revisionRevise the key idea

At a glance

MCQ

Type

cambridge_mcq

Style

Topic

Equations of linear graphs

Exam-style question

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What is the gradient of the line given by the equation 2x + 3y = 6?.

  1. A.-2/3
  2. B.2/3
  3. C.-3/2
  4. D.3/2

Answer and explanation

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Maths method check

  • Topic focus: Equations of linear graphs.
  • Question style: cambridge_mcq.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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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]