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

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

Looking at the graph, we can clearly see two points where the line crosses the grid:

1. $(-3, 2)$
2. $(2, -4)$

Now, applying the formula for the slope:

$\text{slope} = \frac{-4 - 2}{2 - (-3)} = \frac{-6}{5}$

Thus, the slope of the line is $-\frac{6}{5}$.

Would you like further details on how I arrived at this, or do you have any other questions?

Related Questions:

1. What does a negative slope signify about the direction of a line?
2. How do you find the slope of a vertical line?
3. Can the slope be expressed as a decimal, and how does that interpretation differ from the fraction form?
4. What are the differences between positive, negative, zero, and undefined slopes?
5. How does changing the slope affect the steepness of the line on a graph?

Tip:

When reading a graph, always look for clear grid points where the line passes through to avoid estimation errors in determining the slope.