The slope between two points (x1,y1) and (x2,y2) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]plugging the values of the points given we have:
[tex]\begin{gathered} m=\frac{-6-(-8)}{7-14} \\ m=\frac{-6+8}{-7} \\ m=\frac{2}{-7} \\ m=-\frac{2}{7} \end{gathered}[/tex]Therefore the slope is -2/7