Slope of the line through $$$\left(-2, 6\right)$$$ and $$$\left(5, -3\right)$$$

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 $$$x_{1} = -2$$$, $$$y_{1} = 6$$$, $$$x_{2} = 5$$$, and $$$y_{2} = -3$$$.

Plug the given values into the formula for a slope: $$$m = \frac{-3 - 6}{5 - \left(-2\right)} = - \frac{9}{7}$$$.

The slope of the line is $$$m = - \frac{9}{7}\approx -1.285714285714286$$$A.