Question

Estimate the line of best fit using two points on the line. (10, 32) (20, 62)

A. y = 10x

B. y = 3x + 2

C. y = 10x + 10

D. y = 3x + 20

Answer 1

B. 3x+2 is the correct answer

Answer 2

Answer: The correct option is

(B)
`y=3x+2.`

Step-by-step explanation: We are given to estimate the line of best fit using the following two points on the line.

(10, 32) and (20, 62).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

`m=(d-b)/(c-a).`

So, the slope of the given line will be

`m=(62-32)/(20-0)=(30)/(10)=3.`

Since the line passes through the point (10, 32), so its equation is given by

`y-32=m(x-10)\\\\\Rightarrow y-32=3(x-10)\\\\\Rightarrow y=3x+30+32\\\\\Rightarrow y=3x+2.`

Thus, the required equation of the line of best fit is
`y=3x+2.`

Option (B) is CORRECT.