For this final problem, you are tasked with the following: write down the equations you used to graph each tree in problem #2, and then state what each slope represents from each equation in y=mx+b form.
Here is the previous question for reference:
"Brittany buys two trees for her backyard, one Oak tree and one Pine tree. She plants them appropriately and measures their initial height. Every year Brittany measures the height of the two trees and eventually realizes that the two trees must have had the same height at some point! Construct two linear equations in the form y=mx+b from the table and determine when the trees were the same height. "
Let's say the Oak tree's initial height is $b$ and its growth rate is $m_{Oak}$, and the Pine tree's initial height is $d$ and its growth rate is $m_{Pine}$.
The equations used to graph each tree are:
1. Oak tree height: $y = m_{Oak}x + b$
2. Pine tree height: $y = m_{Pine}x + d$
The slope $m$ in each equation represents the growth rate of each tree.
Therefore, the slope $m_{Oak}$ represents the growth rate of the Oak tree, and the slope $m_{Pine}$ represents the growth rate of the Pine tree.