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07-11-2018
Mathematics

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What type of slopes do parallel lines have? And, What type of slopes do perpendicular lines have?

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wegnerkolmp2741o wegnerkolmp2741o

07-11-2018

parallel lines have the same slope

perpendicular lines have the negative reciprocal

ie 3--------> -1/3

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07-11-2018

The parallel lines have the same slope.

Let

[tex]k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2[/tex]

Perpendicular lines have the negative and reciprocal slopes.

[tex]l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]

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