Question

A.)Which two points should you use to find the equation of the model? Explain.

B.) Use the two points you chose in part a to find the slope of the linear model, rounded to three decimal places. Show your work.
c.) What is the equation of the linear model in point-slope form?
d.) Rearrange the equation you wrote in part c into slope-intercept form. Show your work.

Answer 1

Part a)

we know that

to find the equation of the line, I will use the two points that are closest to the line

Let

A(1,14)

B(7,7)

Part b)

Find the slope

we know that

the formula to find the slope between two points is equal to

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

substitute

`m=(7-14)/(7-1)`

`m=(-7)/(6)`

`m=-7/6=-1.167`

the answer part b) is

the slope is
`m=-7/6=-1.167`

Part c)

we know that

the equation of the line in point slope form is equal to

`y-y1=m(x-x1)`

use the point B (7,7)

`y-7=(-7/6)*(x-7)`

therefore

the answer part c) is

`y-7=(-7/6)*(x-7)`

Part d)

we know that

the equation of the line in slope-intercept for is equal to

`y=mx+b`

we have

`y-7=(-7/6)*(x-7)`

`y=(-7/6)x+(49/6)+7`

`y=(-7/6)x+(91/6)`

therefore

the answer Part d) is

`y=(-7/6)x+(91/6)` or
`y=-1.167x+15.167`