Slope of the line through $$$\left(5, 80\right)$$$ and $$$\left(7, 65\right)$$$

The slope of a line passing through two points $$$P = \left(x_{1}, y_{1}\right)$$$ and $$$Q = \left(x_{2}, y_{2}\right)$$$ is given by $$$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$$.

We have that $$$x_{1} = 5$$$, $$$y_{1} = 80$$$, $$$x_{2} = 7$$$, and $$$y_{2} = 65$$$.

Plug the given values into the formula for a slope: $$$m = \frac{65 - 80}{7 - 5} = - \frac{15}{2}$$$.

The slope of the line is $$$m = - \frac{15}{2} = -7.5$$$A.