Question

What is the average rate of change
y - 3 = -12 (x + 4)​​

Answer 1

`-(3)/(10)`

Explanation:

The average rate of change of a function f ( x ) over the interval [ a , b ] is

`=(f(b)-f(a))/(b-a)`

`f(x)=(3)/(x-2)`

and
`[a,b]=[4,7]`

`f(b)=f(7)=(3)/(7-2)=(3)/(5)`

`f(b)=f(4)=(3)/(4-2)=(3)/(2)`

The rate of change is

`=(f(b)-f(a))/(b-a)`

`=((3)/(3) -(3)/(2) )/(7-4)`

`=-(9)/(10) *(1)/(3) =-(3)/(10)`

Answer 2

`- 12x`

Explanation:

`y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45`

Thr answer is the slope.