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To calculate the slope of the line from the given graph, we use the formula for slope:

\[
\text{slope} = \frac{\text{rise}}{\text{run}}
\]

From the graph, it looks like the line passes through two clear points: (0,0) and (2,1).

1. The "rise" is the change in the \(y\)-values: from 0 to 1, which gives a rise of 1.
2. The "run" is the change in the \(x\)-values: from 0 to 2, which gives a run of 2.

Thus, the slope is:

\[
\text{slope} = \frac{1}{2} = 0.5
\]

So the correct slope of the line is indeed **0.5**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you calculate the slope if the points aren't as clear on the graph?
2. What is the significance of a slope in a real-world context?
3. How do you determine if a graph represents a proportional relationship?
4. How can the slope formula be used to find equations of lines?
5. What is the difference between positive, negative, and zero slopes?

**Tip:** The slope of a line determines its steepness and direction. A positive slope means the line rises as it moves from left to right.

What is the slope of the graph of the proportional relationship?

Learn how to calculate the slope of a proportional relationship using the formula for slope (rise/run) from a graph. This problem demonstrates a step-by-step approach for determining slope, with examples suitable for students in Grades 6-8.

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