Parallel Lines

This lesson covers:

  1. What 'parallel' means
  2. How to tell whether lines are parallel to each other
  3. How to write the equation of a parallel line

Do parallel lines have the same gradients, or different gradients? 

Different gradients 

Same gradients

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Will 2 lines that are parallel to each other ever touch? 

Yes

No

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When line equations are written in the form 'y = mx + c', what does the m represent? 

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Which two lines below are parallel?

y=3x+4
y=2x+4
y=3x+1
y=3x1

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Which two lines below are parallel?

y=32x+1
y=25x3
2y=5x+2
3y=3x+7

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Line A has the equation y = 2x - 6.

Line B is parallel to line A and passes through the point (2, 5). 


Find the equation of line B.

(Give your answer in the form y = mx + c)

y=2x+1

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Line A has the equation y = 3x - 5.

Line B is parallel to line A and passes through the point (-2, 1). 


Find the equation of line B. 

y=3x+7

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