Explain why it is not possible for a line to have a mid-point.

Answer

**Step-by-Step Solution:**

1. **Understanding the Definition of a Line:**
- A line is a straight one-dimensional figure that extends infinitely in both directions. It has no endpoints.

2. **Identifying the Characteristics of a Line:**
- Since a line extends infinitely, it does not have a fixed length. This means it does not have a starting or ending point.

3. **Understanding Midpoint:**
- A midpoint is defined as the point that divides a line segment into two equal parts. It is the halfway point between two endpoints.

4. **Applying the Definition to a Line:**
- Because a line does not have endpoints (it goes on forever), there is no way to define a midpoint. There is no segment to divide into two equal parts.

5. **Conclusion:**
- Therefore, it is not possible for a line to have a midpoint because it lacks the necessary endpoints to determine a halfway point.

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