Given:
The line passing through the points (4, -5/3) point (2, -5/3) ,
The slope is calculated as,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Here,
[tex]\begin{gathered} (x_1_{}_{},_{}y_1)=(4,-\frac{5}{3}) \\ (x_2,y_2)=(2,-\frac{5}{3}) \\ m=\frac{-\frac{5}{3}-(-\frac{5}{3})}{2-4}=\frac{0}{-2}=0 \end{gathered}[/tex]Answer: slope of the line passing through given points is zero.