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Learning objective

Determine the slope and equation of a straight line, such as finding the equation of a line that is parallel to a specified line, for example, y = 4x - 1, which goes through the point (1, -3).

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 MathematicsCore Coordinate geometry

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Quick explanation

Determine the slope and equation of a straight line, such as finding the equation of a line that is parallel to a specified line, for example, y = 4x - 1, which goes through the point (1, -3)

  • This point belongs to Parallel lines, especially Parallel lines outcomes.
  • You need to be able to determine the slope and equation of a straight line, such as finding the equation of a line that is parallel to a specified line, for example, y = 4x - 1, which goes through the point (1, -3).
  • The key ideas to know are Determine, Calculate, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

DetermineCalculateShowWrite

Why it matters

This objective helps connect Parallel lines outcomes to exam-style questions, flashcards, and revision notes for Parallel lines.

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Flashcards10 linked cards

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Practice Questions7 linked questions

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Paper 2 structured question: Parallel lines

Paper 2Core or Extended Mathematics3 marks

Description

Equation of a Parallel Line

Find the equation of a line that is parallel to y = 4x - 1 and passes through the point (1, -3).

  1. a

    Calculate the equation of the line in slope-intercept form.

    Aim for approximately 3 distinct marking points.

    [3]
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