How do you find the slope of y=-3-5/9|x+4|?

Sep 8, 2017

Slope $= \left\{\begin{matrix}- \frac{5}{9} & \text{for" & x >= -4 \\ +5/9 & "for} & x < - 4\end{matrix}\right.$

Explanation:

For $x \ge - 4$
$\textcolor{w h i t e}{\text{XXX}} y = - 3 - \frac{5}{9} \left\mid x + 4 \right\mid$ is equivalent to $y = - \frac{5}{9} x + \text{some constant amount}$

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For $x < - 4$
$\textcolor{w h i t e}{\text{XXX}} y = - 3 - \frac{5}{9} \left\mid x + 4 \right\mid$ is equivalent to $y = \frac{5}{9} x + \text{some other constant}$
color(white)("XXX")rarr "slope"=+5/9