EXPLANATION
Given the line in the graph, in order to find the slope, we must apply the following relationship:
[tex]\text{Slope = }\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]Now, we need at least two ordered pairs to get the slope.
Let's consider (x1,y1)=(0,-6) and (x2,y2)=(6,-2)
Then, replacing into the equation:
[tex]\text{Slope = }\frac{(-2-(-6))}{(6-0)}=\frac{(-2+6)}{(6)}=\frac{4}{6}=\frac{2}{3}[/tex]So, the slope is 2/3