How do you find the slope perpendicular to $5x+2y=10$ ?

Jun 20, 2018

The slope of the perpendicular line is $=2/5$

Given -

$5x+2y=10$

Slope of the given line is $m_1=-a/b=-5/2$

Two lines are perpendicular when $m_1 xx m_2=-1$

Then

$m_2=-1/m_1=-1-:-5/2=-1xx-2/5=2/5$

$m_2=2/5$

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How do you find the slope perpendicular to 5x+2y=105x+2y=10?