To find the slope of the line graphed, we can use the slope formula:

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

From the graph, we can identify two points where the line crosses the grid:

• Point 1: $(-4, 2)$
• Point 2: $(2, -3)$

Now, let's calculate the slope $m$:

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

So, the slope of the line is $m = -\frac{5}{6}$.

Would you like further details on this process? Here are some related questions:

1. How do you interpret the slope of a line in terms of steepness and direction?
2. What is the slope of a horizontal line?
3. How do you determine the slope if given two points algebraically?
4. Can you explain what a negative slope means in a real-world context?
5. How does changing one of the points affect the slope?

Tip: The slope tells you how much the line rises or falls for every unit increase in the x-direction.