Question

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

Answer 1

slope = (80 - 20)/(8 - 2)

Slope = 60/6

Slope = 10

y = mx + b

b = y - mx

b = 20 - 10(2)

b = 0

So equation: y = 10x

Answer

B . y = 10x

Answer 2

Option B. y = 10x

Explanation:

In this graph a line is given which passes through origin (0, 0),(2, 20) and (8, 80).

Since the standard form of the equation of a line is

y = mx + c where m is the slope of this line and c is the y- intercept.

Now slope m of this line will be m = (y - y')/(x - x')= (80 - 20)/(8 - 2) = 60/6 = 10

therefore equation will be y = 10x +c

Since line is passing through origin therefore c = 0.

Now the equation will be y = 10x.

Therefore Option B. y = 10x is the solution.