To write an equation of a line, we need to points (x1, y1) and (x2, y2). So we can use the following equation:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]
So, if take two points from the table as (0,2) and (4, 12), we get:
[tex]m=\frac{12-2}{4-0}=\frac{10}{4}=2.5[/tex][tex]\begin{gathered} y-2=2.5(x-0) \\ y-2=2.5x \\ y=2.5x+3 \end{gathered}[/tex]
Answer: y = 2.5x + 3
