Answer:
Rate of change for the linear relationship modeled is \(\dfrac{-1}{2}\)
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,
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
Putting the points as (-1, 10) and (1, 9), we get
\(m=\dfrac{9-10}{1-(-1)}\)
\(=\dfrac{9-10}{1+1}\)
\(=\dfrac{-1}{2}\)
Rate of change is the slope of the line joining all these points.
