To find the slopeof the line that passes through two points, we have the following equation:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/78uaqhwt0aws3qfwxigaftpihnmb1gzxtp.png)
In this case, we have the following points:
![\begin{gathered} (x_1,y_1)=(8,4) \\ (x_2,y_2)=(1,9) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/s2stbnbqakccvwpd84pl33f2lzkf8k5eyr.png)
Then, using the formula for the slope, we have:
![\begin{gathered} m=(9-4)/(1-8)=(5)/(-7)=-(5)/(7) \\ m=-(5)/(7) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/2k1c7bkkh16hedapi77f07voyve8ritf71.png)
therefore, the slope of the line that passes through the points (8,4) and (1,9) is m = -5/7