To find the slope of the line shown in the graph, we can use the formula for the slope:

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

Here, we need to identify two points that lie on the line. From the graph, two convenient points are:

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

Now, we can substitute these points into the slope formula:

$\text{slope} = \frac{-2 - 4}{4 - (-4)} = \frac{-6}{8} = -\frac{3}{4}$

Thus, the slope of the line is $-\frac{3}{4}$.

Would you like more details, or do you have any questions?

Here are 5 related questions for further practice:

1. How do you interpret the negative slope in the context of a line?
2. What happens to the slope of a line if it is horizontal or vertical?
3. Can you find the equation of the line using the slope and a point?
4. What is the slope of a line perpendicular to the given line?
5. How would the slope change if the line was reflected over the y-axis?

Tip: When working with slope, remember that a negative slope indicates the line falls from left to right, while a positive slope indicates it rises from left to right.