the complete question in the attached figure
Let
y ----------> the height of trees after they have been planted in inches
x ----------> the height of the trees in the pot in inches
A--------> the point (30,18)
B--------> the point (36,24)
Step 1
Find the slope m AB
[tex] m=\frac{(y2-y1)}{(x2-x1)} [/tex]
[tex] m=\frac{(24-18)}{(36-30)} [/tex]
[tex] m=1 [/tex]
Step 2
with m=1 and the point A find the equation of the line
[tex] y-y1=m*(x-x1)\\ y-18=(1)*(x-30)\\ y=x-30+18\\ y=x-12 [/tex]
Step 3
For [tex] x=64 in [/tex]
Find the value of y
[tex] y=64-12\\ y=52 in [/tex]
therefore
the answer is
the height of a tree is [tex] 52 in [/tex]
