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  • 12-09-2018
  • Mathematics
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What is the slope of the line that is perpendicular to the line whose equation in 2x + y =4

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gmany
gmany gmany
  • 12-09-2018

[tex]k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1[/tex]

[tex]2x+y=4\ \ \ |-2x\\\\y=-2x+4\to m_1=-2\\\\-2m_2=-1\ \ \ |:(-2)\\\\m_2=\dfrac{1}{2}[/tex]

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