Question

The graph below shows a line of best fit for data collected on the cost of hardwood flooring, from different vendors, as a function of area.

What is the equation of the line of best fit?

Answer 1

We have been given a graph that shows a line of best fit for data collected on the cost of hardwood flooring, from different vendors, as a function of area. We are asked to find the equation of line of best fit.

First of all, we will find the slope of line using point (0,0) and (400,1500) using slope formula.

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

`m=(1500-0)/(400-0)`

`m=(1500)/(400)`

`m=(15)/(4)`

So the slope of line is
`(15)/(4)`.

We can see that line starts at origin (0,0), so y-intercept will be 0.

Now we will slope-intercept form of equation
`y=mx+b`, where m represents slope and b represents the y-intercept.

`y=(15)/(4)x+0`

`y=(15)/(4)x`

Therefore, our required equation would be
`y=(15)/(4)x` and option B is the correct choice.