Question

Identify the equation that represents the line of best fit on this scatter plot.
30 POINTS

Answer 1

C.
`y=(5)/(7)x+2`.

Explanation:

We have been given a scatter plot. We are asked to find the equation of line of best fit.

First of all, we will find slope of line of best fit using points
`(0,2)` and
`(7,7)`.

`m=(y_2-y_1)/(x_2-x_1)`

`m=(7-2)/(7-0)`

`m=(5)/(7)`

We can see that y-intercept of line of best fit is 2.

We will write our equation in slope intercept form
`y=mx+b`, where,

m = Slope,

b = The y-intercept.

Upon substituting
`m=(5)/(7)` and
`b=2` in slope-intercept form, we will get:

`y=(5)/(7)x+2`

Therefore, the equation of line of best fit for given scatter plot is
`y=(5)/(7)x+2` and option C is the correct choice.

Answer 2

`y=(5)/(7) x+2`

How?

The way you find it is easy. +2 means go up 2y. 5 is y too, so you do 2+5=7. Now go 7 positive x. The answer is this.

Hope this helped:)