Check whether the given lines are parallel or perpendicular 5x + … - Vidyadip

Question

Check whether the given lines are parallel or perpendicular
5x + 23y + 14 = 0 and 23x – 5x + 9 = 0

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Answer

$
5 x+23 y+14=0 \text { and } 23 x-5 x+9=0
$
Slope of the line $\left(m_1\right)=\frac{-5}{23}$
Slope of the line $\left( m _2\right)=\frac{-23}{-5}=\frac{23}{5}$
$
m_1 \times m_2=\frac{-5}{23} \times \frac{23}{5}=-1
$
$\therefore$ The two lines are perpendicular

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