The line passes through 2 points given:
[tex]\begin{gathered} (x_1,y_1)=(-3,5) \\ \text{and} \\ (x_2,y_2)=(2,-5) \end{gathered}[/tex]
We can find the slope using the slope formula shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the points into the formula:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-5-5}{2--3}=\frac{-10}{5} \\ m=-2 \end{gathered}[/tex]
The slope of the line shown in the figure is:
-2
