What is the rate of change and initial value for the linear relation that includes the points shown in the table?

x y
1 10
2 8
3 6
4 4
initial value: 12, rate of change: −2
initial value: 8, rate of change: 2
initial value: 12, rate of change: 2
initial value 8, rate of change: −2

Initial value , rate of change:

Step-by-step explanation:

Step 1

Find the rate of change

we know that

In a linear equation the rate of change is equal to the slope

The formula to calculate the slope between two points is equal to  

we have

Substitute the values  

 ----> rate of change

Step 2

Find the initial value

The equation of  the line into slope-point form is equal to

Substitute

The initial value is the value of y when the value of x is equal to zero (is the y-intercept)

----> initial value

europa2433

europa2433

step-by-step explanation:

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half