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.