Slope of the line through $$$\left(-2, 3\right)$$$ and $$$\left(6, 1\right)$$$

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

Plug the given values into the formula for a slope: $$$m = \frac{1 - 3}{6 - \left(-2\right)} = - \frac{1}{4}$$$.

The slope of the line is $$$m = - \frac{1}{4} = -0.25$$$A.