https://file.aiquickdraw.com/mathbot/file/17286841925429r1bs1bu.jpg

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

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

From the graph, the two points given are:
- \((-2, 5)\)
- \((2, 0)\)

Now, applying the coordinates in the slope formula:

\[
\text{slope} = \frac{{0 - 5}}{{2 - (-2)}} = \frac{{-5}}{{2 + 2}} = \frac{{-5}}{{4}}
\]

So, the slope of the line is \(\boxed{-\frac{5}{4}}\).

Would you like more details or have any further questions?

Here are some related questions:
1. How do you find the slope when given two points?
2. What does a negative slope tell you about the direction of the line?
3. Can the slope of a vertical line be calculated?
4. How does slope relate to the steepness of a line?
5. What is the slope of a line parallel to this one?

**Tip:** When calculating slope, pay close attention to the signs of the differences in the coordinates.

Find the slope of the line passing through the points (-2, 5) and (2, 0) shown on the graph.

Learn how to calculate the slope of the line passing through the points (-2, 5) and (2, 0). This problem demonstrates how to apply the slope formula (y2 - y1) / (x2 - x1) and is ideal for students in Grades 6-8 studying linear equations and coordinate geometry.

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