Find the slope of a non-vertical line $a x + b y + c = 0$

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Solution

Given line is $a x + b y + c = 0$

$\Rightarrow b y = - a x - c$

$\Rightarrow y = \frac{- a}{b} x + \frac{- c}{b}$ is in the form of $y = m x + c$
where slope $= m = \frac{- a}{b}$

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