The equation you provided is \( y = 0.5x \). This is a linear equation in the slope-intercept form \( y = mx + b \), where:

- \( m \) is the slope (in this case, 0.5),
- \( b \) is the y-intercept.

In your equation, \( b = 0 \), meaning the y-intercept is at \( (0, 0) \). Therefore, the line passes through the origin.

Would you like more details or further clarification?

Here are 5 related questions to deepen your understanding:
1. What is the slope of the line and how does it affect the graph?
2. How would the equation change if the y-intercept were 2 instead of 0?
3. What happens to the graph if the slope changes to 1?
4. How do you find the x-intercept for a linear equation?
5. How can you graph this line based on the equation?

**Tip:** In slope-intercept form, the y-intercept is always the value of \( b \), where the line crosses the y-axis.

Discover how to find the y-intercept of the linear equation y = 0.5x. This problem explores the slope-intercept form, focusing on how the slope and intercept affect the graph of the line. Suitable for students in Grades 6-8.

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