The problem asks to find the slope of the line passing through the points $(-8, 6)$ and $(1, 3)$.

The formula to calculate the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

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

Substituting the given points $(-8, 6)$ and $(1, 3)$:

$m = \frac{3 - 6}{1 - (-8)} = \frac{-3}{1 + 8} = \frac{-3}{9} = -\frac{1}{3}$

Thus, the slope of the line is $-\frac{1}{3}$.

Do you need further details or have any questions?

Here are 5 related questions:

1. How do you interpret a negative slope on a graph?
2. Can you find the equation of the line passing through these points?
3. What does it mean for two lines to have the same slope?
4. How do you calculate the slope of a vertical line?
5. What is the significance of a zero slope in linear equations?

Tip: When calculating the slope, always ensure the correct order of subtraction for the coordinates to avoid sign errors.