# I WILL GIVE BRAINLIEST AND 50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS Calculate the rate of change for the following data: x

Question

I WILL GIVE BRAINLIEST AND 50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Calculate the rate of change for the following data:
x y
-1 7
2 -2
7 -17
10 -26

HELP!!!!

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1 year 2021-09-02T14:03:42+00:00 1 Answers 0 views 0

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