https://file.aiquickdraw.com/mathbot/file/1726774332135nd64a5iw.jpg

Let's analyze the graph to answer the questions:

1. **X-Intercept**: The x-intercept is the point where the graph crosses the x-axis, meaning the y-coordinate is 0. Looking at the graph, the line crosses the x-axis at \( (0, 0) \).

2. **Y-Intercept**: The y-intercept is where the graph crosses the y-axis, meaning the x-coordinate is 0. In this case, the graph also crosses the y-axis at \( (0, 0) \).

3. **Symmetry**: The graph is a straight line passing through the origin. It appears to be symmetric about the origin, indicating it has **origin symmetry**.

### Summary of Answers:
- X-Intercept: \( (0, 0) \)
- Y-Intercept: \( (0, 0) \)
- Symmetry: **Origin** symmetry

Would you like any further details or explanations? Here are five follow-up questions for deeper understanding:

1. How can you determine if a graph has symmetry with respect to the x-axis or y-axis?
2. What is the significance of a line having origin symmetry?
3. How do you find the slope of the line in this graph?
4. Can you write the equation of the line based on the graph?
5. How can intercepts be used to sketch a graph without plotting additional points?

**Tip**: Symmetry about the origin implies that if \( (x, y) \) is on the graph, then \( (-x, -y) \) is also on the graph.

Enter the coordinates of the x-intercept and y-intercept of the given linear graph and identify the type of symmetry the graph has.

Learn how to determine the x-intercept and y-intercept of a linear graph and identify the type of symmetry it has. This problem explores key coordinate geometry concepts suitable for students in Grades 8-10.

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