Answer:
we get Rate of change = -3
Step-by-step explanation:
We need to calculate the rate of change for the following data:
x y
-1 7
2 -2
7 -17
10 -26
The rate of change can be calculated using slope formula: [tex]Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table, we can take any 2 points
Suppose we take (-1,7) and (2,-2)
We have: [tex]x_1=-1, y_1=7,x_2=2, y_2=-2[/tex]
Putting values in formula and finding rate of change
[tex]Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:change=\frac{-2-7}{2-(-1)}\\Rate\:of\:change=\frac{-9}{2+1}\\Rate\:of\:change=\frac{-9}{3}\\Rate\:of\:change=-3[/tex]
So, we get Rate of change = -3
