Slope of the line through $$$\left(2, -4\right)$$$ and $$$\left(8, 0\right)$$$

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 $$$x_{1} = 2$$$, $$$y_{1} = -4$$$, $$$x_{2} = 8$$$, and $$$y_{2} = 0$$$.

Plug the given values into the formula for a slope: $$$m = \frac{0 - \left(-4\right)}{8 - 2} = \frac{2}{3}$$$.

The slope of the line is $$$m = \frac{2}{3}\approx 0.666666666666667$$$A.