Slope = -5
The formula for calculating the slope of a line is expressed as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x1, y1) and (x2, y2) are the coordinates of the line.
Given the coordinates (3,-8) and (2,-3), the slope of the line is expressed as:
[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{-3-\left(-8\right)}{2-3} \\ m=\frac{-3+8}{-1} \\ m=\frac{5}{-1} \\ m=-5 \end{gathered}[/tex]Hence the slope of the line between the points (3,-8) and (2,-3) is -5