As per given by question,
There are given that a graph and their points.
Now,
The given points is,
(0, 1), and (-3, -1).
Suppose,
[tex]x_1=0,y_1=1,x_2=-3,y_2=-1_{}[/tex]From the formula to find the slope,
[tex]\text{Slope (m)=}\frac{y_2-y_1}{x_2-x_1}[/tex]Then,
Put the given value in above formula,
[tex]\begin{gathered} \text{Slope (m)=}\frac{y_2-y_1}{x_2-x_1} \\ \text{Slope (m)=}\frac{-1_{}-1_{}}{-3-0_{}_{}} \end{gathered}[/tex]Then,
[tex]\begin{gathered} \text{slope (m)=}\frac{-2}{-3} \\ =\frac{2}{3} \end{gathered}[/tex]Hence, the option B is correct.