The problem asks to find the slope of the line that passes through the points $(2, -4)$ and $(8, 0)$.

1. Problem Description

The problem asks to find the slope of the line that passes through the points $(2, -4)$ and $(8, 0)$.

2. Solution Steps

The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

In this case, we have $(x_1, y_1) = (2, -4)$ and $(x_2, y_2) = (8, 0)$. Plugging these values into the formula, we get:

$m = \frac{0 - (-4)}{8 - 2} = \frac{0 + 4}{6} = \frac{4}{6} = \frac{2}{3}$

3. Final Answer

The slope of the line is $\frac{2}{3}$.