Answer
$\begin{array}{l|l}
line & slope\\
\hline L_{1} & 1\\
L_{2} & 2/3\\
L_{3} & -2
\end{array}$
Work Step by Step
Slope is defined as $m=\displaystyle \frac{\text{change in y}}{\text{change in x}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} .$
Line $L_{1}$ passes through $(-1,-2)$ and $(1,0)$
$m_{1}=\displaystyle \frac{0-(-2)}{1-(-1)}=\frac{2}{2}=1$
Line $L_{2}$ passes through $(1,-4)$ and $(4,-2)$
$m_{2}=\displaystyle \frac{-2-(-4)}{4-1}=\frac{2}{3}$
Line $L_{3}$ passes through $(-4,2)$ and $(-3,0)$
$m_{3}=\displaystyle \frac{0-2}{-3-(-4)}=\frac{-2}{1}=-2$
