To determine the slope of the given line, we use the slope formula:

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

From the graph, the two given points are:

$(x_1, y_1) = (-8, -5) \quad \text{and} \quad (x_2, y_2) = (0, -4)$

Substituting these values:

$m = \frac{-4 - (-5)}{0 - (-8)}$

$m = \frac{-4 + 5}{0 + 8}$

$m = \frac{1}{8}$

Thus, the slope of the line is $\frac{1}{8}$.

The correct answer is the last option: $\frac{1}{8}$.

Would you like further clarification or details?

Here are five related questions to explore:

1. How does the slope of a line relate to its steepness?
2. What does a negative slope indicate about the direction of a line?
3. How do you determine the y-intercept of a line given two points?
4. What is the equation of the line passing through the given points?
5. How does the slope-intercept form of a linear equation help in graphing?

Tip:

When calculating the slope, be careful with negative signs, as mistakes in sign changes are common sources of errors!