Given 2 points, the slope m is computed by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where
[tex]\begin{gathered} (x_1,y_1)=(1,-3) \\ (x_2,y_2)=(4,2) \end{gathered}[/tex]By substituying these values into m, we have
[tex]m=\frac{2-(-3)}{4-1}[/tex]Hence,
[tex]\begin{gathered} m=\frac{2+3}{3} \\ m=\frac{5}{3} \end{gathered}[/tex]Then, the slope is 5/3.