The rate of change of y with respect to x for this function can be seen as the slope of the line that passes through the 2 points shown in the graph. So that, if you take (5.5,2) as P1 and (-7,-3) as P2, you have.
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-3-2}{-7-5.5} \\ m=\frac{-5}{-12.5} \\ m=0.4 \end{gathered}[/tex]
Therefore, the rate of change of y with respect to x for this function is 0.4.
