https://file.aiquickdraw.com/mathbot/file/1726866111684ww5jv75c.jpg

To solve for the midpoints of the segments with the given endpoints, we will use the midpoint formula:

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

### Let's find the midpoint for each problem:

**5. Endpoints: (-8, -10) and (7, 30)**

\[
M = \left( \frac{-8 + 7}{2}, \frac{-10 + 30}{2} \right) = \left( \frac{-1}{2}, \frac{20}{2} \right) = \left( -0.5, 10 \right)
\]

So, the midpoint is \((-0.5, 10)\).

---

**6. Endpoints: (7, 7) and (7, 3)**

\[
M = \left( \frac{7 + 7}{2}, \frac{7 + 3}{2} \right) = \left( \frac{14}{2}, \frac{10}{2} \right) = \left( 7, 5 \right)
\]

So, the midpoint is \((7, 5)\).

---

**7. Endpoints: (2.5, -1) and (23.5, 16)**

\[
M = \left( \frac{2.5 + 23.5}{2}, \frac{-1 + 16}{2} \right) = \left( \frac{26}{2}, \frac{15}{2} \right) = \left( 13, 7.5 \right)
\]

So, the midpoint is \((13, 7.5)\).

---

Would you like a more detailed explanation of any of these? Let me know if you have questions!

### Here are 5 related questions to expand on:
1. How do you find the distance between two points?
2. How does the midpoint relate to dividing a segment into two equal parts?
3. What is the significance of the midpoint in geometry?
4. Can you find the midpoint in three-dimensional space?
5. How would the midpoint formula change if the coordinate system were different?

### Tip:
Always double-check your arithmetic when calculating midpoints, especially when working with negative or decimal values!

Find the coordinates of the midpoint of a segment with the given endpoints. (Examples: (-8, -10), (7, 30) and (7, 7), (7, 3))

Learn how to find the midpoint of a line segment with specific examples such as (-8, -10) and (7, 30) using the midpoint formula. This problem is suitable for students in Grades 6-8.

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