Answer:
Rate of change for the linear relationship modeled is [tex]\dfrac{-1}{2}[/tex]
Step-by-step explanation:
As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.
We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Putting the points as (-1, 10) and (1, 9), we get
[tex]m=\dfrac{9-10}{1-(-1)}[/tex]
[tex]=\dfrac{9-10}{1+1}[/tex]
[tex]=\dfrac{-1}{2}[/tex]
Rate of change is the slope of the line joining all these points.
