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Linear Functions•
Parallel and Perpendicular Lines

Equations of Perpendicular Lines WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Straight line graphs, equations of parallel lines.
Learning Objective: Be able to recognise and find the equations of perpendicular lines through given points

Equations of Perpendicular Lines WORKSHEET DESCRIPTION

This worksheet is designed to provide scaffolding for learners to aid in recognising and finding equations of perpendicular lines.

Section A asks learners to find the pairs of perpendicular lines from their equations.

Section B wants learners to write the equation of a line perpendicular to another through a given y-intercept.

Section C presents a line on a grid and wants a line perpendicular line equation through a given point.

Section D gives an equation and asks for a perpendicular line through a given point.

Section E wants a line perpendicular to another through two other points.

Section F is similar to section E, but the points are displayed on a coordinate grid.

A final extension question asks learners to find the equation of a perpendicular bisector of two coordinates.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Cazoom-Maths.-Linear-Functions.-Equations-of-Perpendicular-Lines

RELATED TO Equations of Perpendicular Lines WORKSHEET

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Equations of Tangents to Circles

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Finding the Equation of the Line (B)

Year groups: 9, 10, 11

Preview of Finding the Equation of the Line (B)

Frequently Asked Questions

Students should be comfortable working with straight line graphs and understand equations of parallel lines before tackling perpendicular lines. These foundational skills are essential because recognising perpendicular relationships builds directly on understanding how gradients relate to each other, just as they do with parallel lines but in a different way.