https://file.aiquickdraw.com/mathbot/file/1730459950345arxj9bp2.jpg

The question asks to identify the graph of the function \( y = 0.5x - 2 \).

Let's analyze the function:
1. **Slope (m)**: The slope of this line is \( 0.5 \), which means the line rises by 0.5 units for each unit it moves to the right.
2. **Y-intercept (b)**: The y-intercept is \(-2\), meaning the line crosses the y-axis at \((0, -2)\).

Looking at the answer choices:
- **The correct graph** will have a line with a gentle positive slope (since \(0.5\) is a positive but small slope).
- The line must cross the y-axis at \(-2\).

From the image, **Option B** matches this description: it has a positive slope and crosses the y-axis at \(-2\).

### Answer:
The correct option is **B**.

Would you like further details on how to analyze line equations?

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**Related Questions**:
1. How do you determine the slope and y-intercept from an equation?
2. What happens to the graph if the slope is negative?
3. How does changing the y-intercept affect the position of a line?
4. How would a steeper slope affect the line's appearance?
5. How can you convert different forms of linear equations into slope-intercept form?

**Tip**: Always check the y-intercept and slope first when matching an equation to a graph.

Determine which graph represents the function y = 0.5x - 2.

Learn how to identify the correct graph for the linear function y = 0.5x - 2. This problem explores key algebraic concepts like slope and y-intercept, focusing on interpreting linear equations. Suitable for students in Grades 8-10.

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