What is the slope of the line that is perpendicular to the line whose equation in 2x + y =4

asked Nov 21, 2019 5.0k views

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by RuiG

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$k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1$

$2x+y=4\ \ \ |-2x\\\\y=-2x+4\to m_1=-2\\\\-2m_2=-1\ \ \ |:(-2)\\\\m_2=(1)/(2)$

Davecz answered Nov 26, 2019

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