To find the slopeof the line that passes through two points, we have the following equation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]In this case, we have the following points:
[tex]\begin{gathered} (x_1,y_1)=(8,4) \\ (x_2,y_2)=(1,9) \end{gathered}[/tex]Then, using the formula for the slope, we have:
[tex]\begin{gathered} m=\frac{9-4}{1-8}=\frac{5}{-7}=-\frac{5}{7} \\ m=-\frac{5}{7} \end{gathered}[/tex]therefore, the slope of the line that passes through the points (8,4) and (1,9) is m = -5/7