To determine the slope of the line, we need to identify two points on the line and use the slope formula:

$\text{slope (m)} = \frac{{y_2 - y_1}}{{x_2 - x_1}}$

From the image, two clear points on the line are:

1. Point A at $( -5, 5 )$
2. Point B at $( 3, -2 )$

Plugging these points into the formula:

$m = \frac{{-2 - 5}}{{3 - (-5)}} = \frac{{-7}}{{8}}$

Thus, the slope of the line is:

$\frac{-7}{8}$

Would you like further explanation on how to interpret points on a graph or any other details?

Here are some related questions you might find helpful:

1. What is the formula for finding the slope between two points?
2. How can you identify points on a line in a coordinate plane?
3. How would the slope change if the line were going upwards instead of downwards?
4. How do you interpret a negative slope on a graph?
5. What does it mean if the slope of a line is zero?

Tip: When identifying points on a line, look for intersections with grid points to ensure accuracy in calculations.