For this question, we use the formula for the slope of a line:
[tex]s=\frac{y_1-y_2}{x_1-x_2}[/tex]Substituting the given points (6,2) and (10,-9) we get:
[tex]\begin{gathered} s=\frac{2-(-9)}{6-10}=\frac{11}{-4} \\ s=-\frac{11}{4} \end{gathered}[/tex]