ANSWER
[tex]-\frac{1}{2}[/tex]
EXPLANATION
We want to find the rate of change of the graph given.
To do this, we apply the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x1, y1) and (x2, y2) are two points on the line.
From the given graph, let us pick the points (-1, -3) and (3, -5).
Therefore, the rate of change of the graph is:
[tex]\begin{gathered} m=\frac{-5-(-3)}{3-(-1)}=\frac{-5+3}{3+1} \\ m=\frac{-2}{4} \\ m=-\frac{1}{2} \end{gathered}[/tex]
That is the rate of the change of the graph.
