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To find the slope of the line from the given graph, I'll need to identify two points on the line and then calculate the slope using the formula:

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

Let's extract the coordinates of two visible points from the graph:

- First point: \((0, -1)\)
- Second point: \((3, 1)\)

Now, applying the slope formula:

\[
m = \frac{1 - (-1)}{3 - 0} = \frac{2}{3}
\]

Thus, the slope of the line is \( \frac{2}{3} \).

Would you like more details or have any questions? 

Here are some related questions to expand on this:

1. How can the slope be interpreted in real-life situations?
2. What happens to the graph if the slope becomes negative?
3. How can we graph a line if only the slope and one point are given?
4. How does changing the slope affect the steepness of the line?
5. Can we find the equation of this line using its slope and one point?

**Tip**: When identifying points on a line, always choose those that lie directly on grid intersections for accuracy.

Learn how to calculate the slope of a line from a graph using two points. This problem focuses on the linear algebra concept of slope, using the formula m = (y2 - y1) / (x2 - x1). Suitable for students in Grades 7-9.

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