In order to find the slope between two points (x1, y1) and (x2, y2), we can use the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]So, using the points (5, -15) and (6, -5), we have:
[tex]\begin{gathered} m=\frac{-5-(-15)}{6-5} \\ m=\frac{-5+15}{1} \\ m=10 \end{gathered}[/tex]So the slope is m = 10.