Given the points (5,8) and (3,3), we can find the slope of the line that passes through them with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]In this case, we have:
[tex]\begin{gathered} (x_1,y_1)=(5,8) \\ (x_2,y_2)=(3,3) \\ \Rightarrow m=\frac{3-8}{3-5}=\frac{-5}{-2}=\frac{5}{2} \\ m=\frac{5}{2} \end{gathered}[/tex]therefore, the slope of the line that passes through (5,8) and (3,3) is m=5/2