Answer:
The correct option is B.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
if a line passing thorough two point then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line passing through the point (0,6) and (1,8), so the slope of the lien is
[tex]m=\frac{8-6}{1-0}=2[/tex]
The slope of line is 2, it means the birch tree grows 2 inches per month.
From the given graph it is clear that the y-intercept of the line is 6 and the slope is 2. So, the equation of line is
[tex]y=2x+6[/tex]
Put x=10.
[tex]y=2(10)+6=26[/tex]
The height of the birch tree will be 26 inches after 10 months.
Therefore, the correct option is B.
