Given two points of a line (x₁, y₁) and (x₂, y₂), the slope m of the line can be calculated using the equation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
There are several options in the table. We choose the first and the last tabulated values to be our points of interest:
[tex]\begin{gathered} (x_1,y_1)=(0,3) \\ (x_2,y_2)=(6,6) \end{gathered}[/tex]
Then, using the equation of the slope:
[tex]\begin{gathered} m=\frac{6-3}{6-0}=\frac{3}{6} \\ \therefore m=\frac{1}{2} \end{gathered}[/tex]
