To determine the slope of the line in this image, we can use the slope formula based on two points on the line. The two points given are $(-3, -1)$ and $(3, 1)$.

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

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

Substitute the values: $m = \frac{1 - (-1)}{3 - (-3)} = \frac{1 + 1}{3 + 3} = \frac{2}{6} = \frac{1}{3}$

So, the slope of this line is $\frac{1}{3}$.

Would you like further details on slope calculation, or do you have any questions?

Here are some related questions you might explore:

1. How do you interpret a positive or negative slope in a graph?
2. What would be the slope if the line were vertical or horizontal?
3. How can you determine the slope if only given the graph and not the coordinates?
4. What is the importance of simplifying fractions when calculating slope?
5. How do changes in the coordinates affect the slope value?

Tip: When calculating the slope, always check that your points are accurate and simplify the fraction for the most precise answer.