The two coordinates given are:
[tex]\begin{gathered} (x_1,y_1)=(5,-8) \\ (x_2,y_2)=(10,3) \end{gathered}[/tex]We need to find the slope of the line that passes through these points.
The formula for the slope of a line is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Let's substitute the given points and find the slope. Shown below:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{3-(-8)}{10-5} \\ m=\frac{3+8}{5} \\ m=\frac{11}{5} \end{gathered}[/tex]The slope of the line passing through (5, -8) and (10, 3) is 11/5.
