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Learning objective

Determine the slope and equation of a straight line that is perpendicular to another line. For instance, calculate the slope of a line that is perpendicular to the equation 2y = 3x + 1, or find the equation of the perpendicular bisector for the segment connecting the points (-3, 8) and (9, -2).

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Cambridge IGCSE MathematicsExtended Coordinate geometrySupplement content

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Quick explanation

Determine the slope and equation of a straight line that is perpendicular to another line. For instance, calculate the slope of a line that is perpendicular to the equation 2y = 3x + 1, or find the equation of the perpendicular bisector for the segment connecting the points (-3, 8) and (9, -2)

  • This point belongs to Perpendicular lines, especially Perpendicular lines outcomes.
  • You need to be able to determine the slope and equation of a straight line that is perpendicular to another line. For instance, calculate the slope of a line that is perpendicular to the equation 2y = 3x + 1, or find the equation of the perpendicular bisector for the segment connecting the points (-3, 8) and (9, -2).
  • The key ideas to know are Calculate, Determine, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowWork out

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

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Paper 2 structured question: Perpendicular lines

Paper 2Core or Extended Mathematics2 marks

Description

Line Equation

Consider the line with equation 2y = 3x + 1.

  1. a

    Calculate the slope of the line.

    Aim for approximately 1 distinct marking point.

    [1]
  2. b

    Calculate the slope of a line perpendicular to this line.

    Aim for approximately 1 distinct marking point.

    [1]
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