Year 10 - Maths
Identifying perpendicular linear graphs
Linear graphs
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils consider equations that produce parallel or perpendicular graphs and how their equations relate to each other.
Lesson Summary
You will learn to identify, from their equations or graphs, whether two lines are perpendicular.
Key Notes
- If two equations are written in the form y = mx + c then you can identify if they are perpendicular.
- If the equations are not in that form, you can rearrange them to be.
- From their graphs, you can identify whether two lines are perpendicular.
Vocabulary To Learn
- Perpendicular: Two lines are perpendicular if they meet at right angles.
- Irrational number: An irrational number is one that cannot be written in the form a/b where a and b are integers and b is not equal to 0
- Surd: A surd is an irrational number expressed as the root of a rational number.
- Radical: The root sign is the radical symbol.
Common Mistakes To Avoid
- The gradients of two perpendicular lines are a number and its reciprocal.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If two equations are written in the form y = mx + c then you can identify if they are perpendicular. If the equations are not in that form, you can rearrange them to be.
2. Use this key word in a maths sentence and explain it clearly. 'Perpendicular'
Two lines are perpendicular if they meet at right angles. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: The gradients of two perpendicular lines are a number and its reciprocal. Correction: In order for two lines to be perpendicular, the two gradients cannot have the same sign. Therefore it is a number and its negative reciprocal.
More Lessons In This Unit
- Advanced problem solving with linear graphs Study Guide
- Checking and securing understanding of drawing linear graphs Study Guide
- Checking and securing understanding of drawing vertical and horizontal graphs Study Guide
- Checking and securing understanding of finding the equation of the line from coordinates Study Guide
- Checking and securing understanding of finding the equation of the line from the graph Study Guide
- Checking and understanding graphs showing direct proportion Study Guide
- Graphs showing inverse proportion Study Guide
- Parallel and perpendicular lines on coordinate axes Study Guide
- Parallel linear graphs Study Guide
- Perpendicular linear graphs Study Guide
- Problem solving with linear graphs Study Guide
- Ratios in line segments on coordinate axes Study Guide
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