https://file.aiquickdraw.com/mathbot/file/17297006578115h6muwtk.jpg

The graph shows a line cutting through the \( x \)-axis and \( y \)-axis, allowing us to determine the intercepts:

- The **\( x \)-intercept** is where the line crosses the \( x \)-axis. This occurs when \( y = 0 \). Looking at the graph, the line crosses the \( x \)-axis around \( (3, 0) \).
  
- The **\( y \)-intercept** is where the line crosses the \( y \)-axis. This happens when \( x = 0 \). From the graph, the line crosses the \( y \)-axis at about \( (0, -1) \).

### Final answer:
- **\( x \)-intercept**: \( (3, 0) \)
- **\( y \)-intercept**: \( (0, -1) \)

Would you like more details or explanations about how to find intercepts? Here are some follow-up questions you might find interesting:

1. How can we find the intercepts algebraically if we have the equation of the line?
2. What is the significance of the slope in determining the intercepts of a line?
3. How can we derive the equation of the line using the two intercepts?
4. How would the intercepts change if the line had a different slope?
5. Can a line have no intercepts on either the \( x \)- or \( y \)-axis?

**Tip:** The \( y \)-intercept is easier to spot when the graph is in slope-intercept form, \( y = mx + b \), where \( b \) is the \( y \)-intercept.

Determine the intercepts of the line based on the given graph.

Learn how to find the x-intercept and y-intercept of a line using a graph. This example walks through determining intercepts, such as the x-intercept at (3, 0) and y-intercept at (0, -1), using basic graphing skills. Ideal for middle school students (Grades 6-8).

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