Identifying perpendicular linear graphs
I can identify, from their equations or graphs, whether two lines are perpendicular.
Identifying perpendicular linear graphs
I can identify, from their equations or graphs, whether two lines are perpendicular.
Lesson details
Key learning points
- 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.
Common misconception
The gradients of two perpendicular lines are a number and its reciprocal.
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.
Keywords
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.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
Exit quiz
6 Questions
$$-3$$ -
$$1\over 3$$
$$1$$ -
$$-1$$
$$7$$ -
$$-{1\over 7}$$
$$-{4\over 5}$$ -
$$5\over 4$$
$$-{5\over 4}$$ -
$$4\over 5$$
$$1\over 7$$ -
$$-7$$