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

$m=\dfrac{d-b}{c-a}.$

So, the slope of the given line will be

$m=\dfrac{62-32}{20-0}=\dfrac{30}{10}=3.$

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.