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

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

From the graph, we can identify two points on the line:

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

Now, let's apply the slope formula:

$m = \frac{-3 - 3}{4 - (-4)} = \frac{-6}{4 + 4} = \frac{-6}{8} = -\frac{3}{4}$

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

Would you like further details or clarifications?

Here are 5 related questions for further understanding:

1. How does the sign of the slope affect the direction of a line?
2. What is the meaning of a zero slope?
3. How can you find the slope from the equation of a line?
4. What does the slope of a vertical line look like?
5. How do you convert the slope into an angle with respect to the x-axis?

Tip: A negative slope indicates that the line is decreasing, or going downwards from left to right.