The problem asks to find the slope of a line parallel to the line that passes through the points $(2, 8)$ and $(24, 4)$.

1. Problem Description

The problem asks to find the slope of a line parallel to the line that passes through the points $(2, 8)$ and $(24, 4)$.

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 our case, we have $(x_1, y_1) = (2, 8)$ and $(x_2, y_2) = (24, 4)$. Plugging these values into the formula, we get:

$m = \frac{4 - 8}{24 - 2} = \frac{-4}{22} = -\frac{2}{11}$

Since parallel lines have the same slope, the slope of the parallel line is also $-\frac{2}{11}$.

3. Final Answer

$-\frac{2}{11}$