Question

(5,12)and (2,6) rate of change?
Initial value?
HURRY i NEED this done.

Answer 1

Part 1) The rate of change is
`2`

Part 2) The initial value is
`2`

Explanation:

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope or rate of change

b is the y-intercept or initial value

step 1

Find the slope or rate of change

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

`m=(y2-y1)/(x2-x1)`

we have the points

(5,12)and (2,6)

substitute the values in the formula

`m=(6-12)/(2-5)`

`m=(-6)/(-3)`

`m=2`

therefore

The rate of change is
`2`

step 2

Find the initial value

we have

`m=2`

`point\ (2,6)`

substitute in the equation
`y=mx+b`

`6=2(2)+b`

solve for b

`6=4+b`

`b=2` ---> initial value

The linear equation is equal to

`y=2x+2`

The y-intercept or initial value is 2