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To determine the slope of the line from the graph, we need to find two points that the line passes through. From the graph:

1. The line passes through the point \((0, 0)\) (the origin).
2. The line also passes through the point \((1, 1)\).

The slope \(m\) of a line is calculated using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1)\) and \((x_2, y_2)\) are two distinct points on the line. Using the points \((0, 0)\) and \((1, 1)\):

\[
m = \frac{1 - 0}{1 - 0} = \frac{1}{1} = 1
\]

Thus, the slope of the line is **1**.

Would you like further details or have any questions?

### Related questions:
1. How do you calculate the slope if the points are not clearly visible?
2. What is the significance of a slope of 1 in real-life scenarios?
3. How do negative slopes differ from positive slopes in terms of line direction?
4. How would you find the slope of a vertical or horizontal line?
5. Can slope be used to determine if two lines are parallel?

**Tip:** The slope of a line tells you how steep the line is. A slope of 1 means the line rises 1 unit for every 1 unit it runs horizontally.

Learn how to determine the slope of a line from a graph using the formula m = (y2 - y1) / (x2 - x1). This problem involves identifying two points on the graph and applying basic slope concepts. Suitable for students in Grades 7-9.

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