The perimeter of the equilateral triangle is represented as P. The perimeter is equal to three times the length of the side s of the equilateral triangle, which is written as 3s. Hence, we can write the formula of the equilateral triangle as
[tex]P=3s[/tex]Now, to plot this formula, we need to find ordered pairs. This can be done by letting some values of s and evaluating the equation above to solve for P. The resulting pairs are represented as (s, P) which can now be plotted in the Cartesian Coordinate plane.
In this problem, I will use s = 1, 2, and 3. We will have the following values of P and coordinate pairs.
[tex]\begin{gathered} P_1=3(1)=3\rightarrow\rightarrow(1,3)_{} \\ P_2=3(2)=6\rightarrow\rightarrow(2,6) \\ P_3=3(3)=9\rightarrow\rightarrow(3,9) \end{gathered}[/tex]We can now plot the coordinate points on the Cartesian coordinate plane as
Drawing a line connecting the dots, the graph of the formula is represented as
