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To determine the slope of the line from the graph, we can follow these steps:

1. **Identify two points on the line**: From the graph, it seems that the line passes through the points \((2, -2)\) and \((4, -3)\).
   
2. **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 the coordinates of the two points.

Let me plug in the values:

\[
\text{slope} = \frac{-3 - (-2)}{4 - 2} = \frac{-3 + 2}{2} = \frac{-1}{2}
\]

Thus, the slope of the line is \(-\frac{1}{2}\).

Would you like more details or have any questions about this? Here are some related questions:

1. How do you interpret the slope of a line in real-world contexts?
2. Can a line have a positive or undefined slope? How does that look on a graph?
3. What is the equation of a line given the slope and a point?
4. How do you calculate the slope of vertical and horizontal lines?
5. What are the differences between slopes in parallel and perpendicular lines?

**Tip**: Always pick two points that are easy to read from the graph to minimize calculation errors when finding the slope!

Learn how to find the slope of a line using a graph, focusing on the slope formula. In this problem, the line passes through the points (2, -2) and (4, -3), and the calculated slope is -1/2. Suitable for students in Grades 7-9.

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