We can put (months, cost) as a coordinate pair.
We can write two pair of points from the table:
[tex]\begin{gathered} (x_1,y_1)=(2,268) \\ \text{and} \\ (x_2,y_2)=(3,322) \end{gathered}[/tex]
The equation of the line can be written using point slope form of a line shown below:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
We substitute the points and get:
[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-268_{}=\frac{322-268}{3-2}(x-2) \\ y-268=54(x-2) \\ y-268=54x-108 \\ y=54x-108+268 \\ y=54x+160 \end{gathered}[/tex]
If we use "m" and "t" for months and cost, we can write this equation as:
[tex]t=54m+160[/tex]
