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To find the midpoint of a line segment with given endpoints, we use the midpoint formula:

\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

The endpoints provided are \((-7, -8)\) and \((4, 7)\), where:
- \(x_1 = -7\), \(y_1 = -8\)
- \(x_2 = 4\), \(y_2 = 7\)

Substituting these values into the formula:

\[
\text{Midpoint} = \left( \frac{-7 + 4}{2}, \frac{-8 + 7}{2} \right)
= \left( \frac{-3}{2}, \frac{-1}{2} \right)
= \left( -1.5, -0.5 \right)
\]

Thus, the midpoint of the segment is \((-1.5, -0.5)\).

Would you like any further details or clarifications? 

Here are five related questions for further exploration:
1. How do you calculate the distance between two points in a plane?
2. Can the midpoint formula be extended to three-dimensional space?
3. What is the equation of the line that passes through \((-7, -8)\) and \((4, 7)\)?
4. How would you find the slope of the line segment connecting the two points?
5. How does the concept of a midpoint apply in geometry problems involving triangles?

**Tip:** The midpoint formula is simply the average of the coordinates of the endpoints.

Find the midpoint of the segment with the endpoints: (-7, -8) and (4, 7).

Learn how to find the midpoint of a line segment with endpoints (-7, -8) and (4, 7) using the midpoint formula. This solution demonstrates step-by-step how to calculate the midpoint as (-1.5, -0.5). Perfect for students in Grades 6-9 learning coordinate geometry.

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