Estimate the line of best fit using two points on the line

Question

asked Mar 22, 2020 14.0k views

2 Answers

George Stocker · Answer 1 · 2020-03-26T06:07:21+0000

Answer:

y=8x+20

Explanation:

The line that best fits is shown in the given graph.

To find the equation that represent that red line, we first have to find its slope and then use the point-slope formula.

The slope is defined as

m=(y_(2) -y_(1) )/(x_(2) -x_(1) )

We are gonna use points (0,20) and (3,44)

m=(44-20)/(3-0)=(24)/(3)=8

Then, we use the point-slope formula, with the slope we found and the point (0,20)

$y-y_(1) =m(x-x_(1) )\\y-20=8(x-0)\\y=8x+20$

Therefore, the right answer is B.