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