Find the midpoint of the segment with the following endpoints.
left parenthesis, 7, comma, 5, right parenthesis, and , left parenthesis, 0, comma, 10, right parenthesis
(7,5) and (0,10)

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

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

Given the endpoints \((7, 5)\) and \((0, 10)\), we can substitute the values into the formula:

\[
\text{Midpoint} = \left(\frac{7 + 0}{2}, \frac{5 + 10}{2}\right)
\]

Now, calculate the coordinates:

\[
\text{Midpoint} = \left(\frac{7}{2}, \frac{15}{2}\right) = \left(3.5, 7.5\right)
\]

So, the midpoint of the segment is \(\left(3.5, 7.5\right)\).

Would you like more details or have any questions? Here are some related questions:

1. How do you find the distance between the endpoints of a segment?
2. What is the significance of the midpoint in geometry?
3. How do you find the equation of the line that passes through these points?
4. What happens if the endpoints of the segment are the same point?
5. How do you find the midpoint in 3D space?

**Tip:** The midpoint is often referred to as the "average" of the x-coordinates and y-coordinates of the endpoints.

Learn how to find the midpoint of a segment with endpoints (7, 5) and (0, 10). This problem covers coordinate geometry and the midpoint formula. Suitable for students in Grades 6-8.

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