https://file.aiquickdraw.com/mathbot/file/17263075814839chh02qi.jpg

The problem asks to plot two line segments, \( \overline{AB} \) and \( \overline{CD} \), using the given coordinates for points \( A \), \( B \), \( C \), and \( D \) on the coordinate plane:

- \( A(10, -4) \)
- \( B(3, -4) \)
- \( C(-1, 2) \)
- \( D(-1, 5) \)

### Plotting Instructions:
1. **Plotting points**:
   - \( A(10, -4) \) and \( B(3, -4) \) will form the line segment \( AB \).
   - \( C(-1, 2) \) and \( D(-1, 5) \) will form the line segment \( CD \).
   
2. **Line \( AB \)**: 
   - This is a horizontal line since both points \( A \) and \( B \) have the same \( y \)-coordinate of \(-4\).

3. **Line \( CD \)**: 
   - This is a vertical line since both points \( C \) and \( D \) have the same \( x \)-coordinate of \(-1\).

Would you like me to create a graph of this plot or explain further? 

Here are some follow-up questions:
1. What is the distance between points \( A \) and \( B \)?
2. What is the distance between points \( C \) and \( D \)?
3. How do we determine the slope of a line segment?
4. What are the properties of horizontal and vertical lines?
5. What happens if two lines are perpendicular to each other?

**Tip**: To check if two lines are perpendicular, multiply their slopes. If the product is -1, the lines are perpendicular.

In the coordinate plane, plot AB and CD given by the points A(10, -4), B(3, -4), C(-1, 2), D(-1, 5).

Learn how to plot the line segments AB and CD on a coordinate plane using the points A(10, -4), B(3, -4), C(-1, 2), and D(-1, 5). Understand the properties of horizontal and vertical lines and apply the slope and distance formulas. Suitable for students in Grades 7-10.

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