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

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

Where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.

From the graph, I can identify two points that the line passes through:

• Point 1: $(-6, 4)$
• Point 2: $(2, -4)$

Now, applying these points to the slope formula:

$m = \frac{{-4 - 4}}{{2 - (-6)}} = \frac{{-8}}{{8}} = -1$

Thus, the slope $m$ of the line is $-1$.

Let me know if you'd like any further explanations!

Here are some related questions to expand your understanding:

1. How does the slope of a line relate to its steepness?
2. What happens if the slope is positive or negative?
3. How would you find the slope if the graph doesn't show exact points?
4. Can the slope be zero, and if so, what does it mean for the line?
5. How do you interpret the slope in real-world situations, like in economics or physics?

Tip: Always check that the points you choose are clear and easy to read from the graph to avoid errors!