Answer:
Option A is correct.
Step-by-step 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,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So,
[tex]y-8=\frac{5-8}{8-2}(x-2)[/tex]
[tex]y-8=\frac{-3}{6}(x-2)[/tex]
[tex]y-8=\frac{-1}{2}(x-2)[/tex]
[tex]y-8=\frac{-1}{2}x-\frac{-1}{2}\times2[/tex]
[tex]y-8=\frac{-1}{2}x+1[/tex]
[tex]y=\frac{-1}{2}x+1+8[/tex]
[tex]y=\frac{-1}{2}x+9[/tex]
Therefore, Option A is correct.
