Answer:
The rate of change refers to the slope of the linear function, because the slope is actually a ration between the two variables. So, to find the slope, we use its definition:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now we replace the given points, being C the first point and D the second point:
[tex]m=\frac{-11-(-1)}{2-0}=\frac{-11+1}{2}=\frac{-10}{2}=-5[/tex]
Therefore, the rate of change is -5, where the negative sign refers to a decreasing change, it's a decreasing linear function. In addition, the initial values is where the independent variable is zero, which is given in the point C (0;-1), so the initial condition is y = -1
