https://file.aiquickdraw.com/mathbot/file/1728416010155kdn65o18.jpg

From the image, the graph appears to show a straight line passing through the points \((0, 5)\) and \((5, 0)\). 

To find the slope of a line, we use the slope formula:
\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1)\) and \((x_2, y_2)\) are two points on the line.

Using the points \((0, 5)\) and \((5, 0)\), we substitute into the formula:
\[
\text{slope} = \frac{0 - 5}{5 - 0} = \frac{-5}{5} = -1
\]

Thus, the slope of the line is \(-1\).

Would you like further clarification or details on this? Here are some related questions:

1. How does the slope relate to the angle of the line?
2. What is the equation of the line with slope \(-1\) passing through \((0, 5)\)?
3. How does changing the slope affect the line's appearance on a graph?
4. What is the meaning of a negative slope in real-world applications?
5. How can we find the slope between any two points?

**Tip:** The slope of a line tells you how much \(y\) changes for a given change in \(x\). A negative slope means the line is decreasing (slants downward).

This problem demonstrates how to find the slope of a line passing through the points (0, 5) and (5, 0). Using the slope formula, the slope is calculated to be -1. This exercise covers linear equations, graphing, and the slope-intercept theorem. Suitable for Grades 8-10.

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