Question

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

A.y=-1/2x+9
B.y=2x+9
C.y=-2x+9
D.y=1/2x+9

Answer 1

Your answer is A.

y = -1/2x + 9

Answer 2

Option A is correct.

Explanation:

Given Two points on line are ( 2 , 8 ) & ( 8 , 5 )

We have to find A line of best fit for the graph using these two points.

We find the equation of line using two point form,

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

So,

`y-8=(5-8)/(8-2)(x-2)`

`y-8=(-3)/(6)(x-2)`

`y-8=(-1)/(2)(x-2)`

`y-8=(-1)/(2)x-(-1)/(2)*2`

`y-8=(-1)/(2)x+1`

`y=(-1)/(2)x+1+8`

`y=(-1)/(2)x+9`

Therefore, Option A is correct.