Question

I WILL GIVE BRAINLIEST AND 50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answer 1

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: $Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}$

From the table, we can take any 2 points

Suppose we take (-1,7) and (2,-2)

We have: $x_1=-1, y_1=7,x_2=2, y_2=-2$

Putting values in formula and finding rate of change

$Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:change=\frac{-2-7}{2-(-1)}\\Rate\:of\:change=\frac{-9}{2+1}\\Rate\:of\:change=\frac{-9}{3}\\Rate\:of\:change=-3$

So, we get Rate of change = -3