To find the slope of the line, we will use the slope formula:

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

The two given points on the line are:

• $(-4, 8)$
• $(2, -4)$

Now let's plug these into the slope formula:

$m = \frac{-4 - 8}{2 - (-4)} = \frac{-4 - 8}{2 + 4} = \frac{-12}{6} = -2$

So, the slope of the line is $m = -2$.

Would you like further details or explanations?

Here are 5 follow-up questions based on this:

1. What does the slope of a line represent in general?
2. How would the slope change if the line were horizontal?
3. What is the significance of a negative slope?
4. Can you identify the y-intercept of this line based on the graph?
5. How would you calculate the slope if the points had been flipped?

Tip: The slope represents the rate of change between the two variables (rise over run).