Question

Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

Answer 1

`y=x+3`

Explanation:

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-intercept

step 1

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

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

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

substitute

`m=(50-40)/(47-37)`

`m=(10)/(10)=1`

step 2

Find the y-intercept

we have

`m=1\\point\ (37,40)`

substitute in the linear equation

`40=(1)(37)+b`

solve for b

`b=3`

therefore

The linear equation is

`y=x+3`