https://file.aiquickdraw.com/mathbot/file/1725061424662xe192hq1.jpg

The image shows a graph of a line segment on a coordinate plane. The line segment starts from point \((-4, 7)\) on the \(y\)-axis and ends at point \((6, -2)\) on the \(x\)-axis. The circles at these endpoints indicate that the points are not included in the segment, meaning they are open intervals.

### Domain:
The domain represents all the possible \(x\)-values for which the function is defined. 

- The \(x\)-values start from \(-4\) and go up to \(6\).
- Since the endpoints are not included, the domain is:
  \[
  \text{Domain} = (-4, 6)
  \]

### Range:
The range represents all the possible \(y\)-values for which the function is defined.

- The \(y\)-values start from \(-2\) and go up to \(7\).
- Again, because the endpoints are not included, the range is:
  \[
  \text{Range} = (-2, 7)
  \]

Would you like more details or have any questions? 

Here are some related questions you might find interesting:

1. How do you determine if an endpoint is included or excluded from the domain or range?
2. How do you find the equation of the line segment?
3. What is the slope of the line segment between the two points?
4. Can the domain or range ever include infinity in a finite line segment?
5. How would the domain and range change if one of the endpoints were closed?

**Tip:** Remember, an open circle on a graph means that the endpoint is not included in the domain or range, which is crucial for understanding interval notation.

Explore the concept of domain and range in coordinate geometry with a practical example. Learn how to determine the domain and range of a line segment on a coordinate plane, including the use of interval notation. Suitable for students in Grades 9-12.

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