https://file.aiquickdraw.com/mathbot/file/1728317582905uf8h7vpt.jpg

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.

Learn how to calculate the slope of a line using two points from a graph. In this example, we use the points (-4, 3) and (4, -3) and apply the slope formula to find that the slope is -3/4. This lesson is suitable for students in Grades 8-10.

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