Perpendicular Lines

This lesson covers:

  1. What perpendicular lines are
  2. How to tell whether two lines are perpendicular 
  3. How to find the gradient of a perpendicular line 

Do perpendicular lines have the same gradients or different gradients? 

Same gradients 

Different gradients 

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What is the angle between two perpendicular lines?

90

°

°

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If we know the gradients of two lines, how can we show that they're perpendicular to each other? 

Adding their gradients together will give -1

Dividing their gradients by one another will give -1

Multiplying their gradients together will give -1

Subtracting their gradients from one another will give -1

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Are the lines below perpendicular to each other?

y=2x+3 & y=21x5

Yes, they are perpendicular 

No, they are not perpendicular 

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Are the lines below perpendicular to each other?

y=3x+1 & y=41x2

Yes, they are perpendicular 

No, they are not perpendicular 

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What is the gradient of the line perpendicular to:

y=21x+5
-2

m2 =

m2 =

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