Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
From the graph, we can see the line passes through the points (3,0) and (0,-2).
The slope of a line, [tex]m[/tex], that passes through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let [tex](x_1,y_1)\implies (3,0)[/tex] and [tex](x_2,y_2)\implies (0,-2)[/tex].
The slope of the line that passes through these points is:
[tex]m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}[/tex]
