We have the following equation to find the slope of a line given two points:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]In this case, we have the following:
[tex]\begin{gathered} (x_1,y_1)=(4,19) \\ (x_2,y_2)=(6,10) \\ \Rightarrow m=\frac{10-19}{6-4}=\frac{-9}{2}=-\frac{9}{2m} \\ \Rightarrow m=-\frac{9}{2} \end{gathered}[/tex]therefore, the slope is m = -9/2
