Question

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

Answer 1

Answer: y=-2/3x+12

Explanation:

Answer 2

A. y =
`-(2)/(3)` x + 12

Explanation:

Given the two points:

A = (x1, y1) = (6, 8)

B = (x2, y2) = (9. 6)

From the photo, we can see that the line of fest fit is a straight line (linear) that go through the two points above.

We have the standard form of a linear equation is:

• y = mx + b

where m is the slope and b is the y-intercept

To find the slope, we use the following formula:

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

<=> m =
`(6-8)/(9-6)` =
`-(2)/(3)`

Substitute m into the standard equation, we have:

• y =
  `-(2)/(3)` + b (1)

Because the line go through point A, so we substitute A into (1), we have:

8 =
`-(2)/(3)` *6 + b

<=> b = 12

So our equation is: y =
`-(2)/(3)` x + 12