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?

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.