The linear function has the points (9,-5) and (-2,-2) on its graph.
The rate of change is the slope of the line.
It is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values:
[tex](x_1,y_1)=(9,-5);(x_2,y_2)=(-2,-2)[/tex]
The rate of change m is given by:
[tex]\begin{gathered} m=\frac{-2-(-5)}{-2-9} \\ m=\frac{-2+5}{-11} \\ m=-\frac{3}{11} \end{gathered}[/tex]
Hence the rate of change is -3/11 or -0.27.
