To find the midpoint of a segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$, use the midpoint formula:

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

Given endpoints $(8, 7)$ and $(2, 10)$, we can substitute these values into the formula:

$\text{Midpoint} = \left( \frac{8 + 2}{2}, \frac{7 + 10}{2} \right)$

Now, let's calculate:

$\text{Midpoint} = \left( \frac{10}{2}, \frac{17}{2} \right) = (5, 8.5)$

So, the midpoint of the segment is $(5, 8.5)$.

Would you like any further explanation or have any other questions?

Here are some related questions:

1. How do you find the distance between two points?
2. What is the formula for finding the slope of a line?
3. How do you determine if a point lies on a line segment?
4. Can the midpoint be used to find the center of a circle?
5. How do you apply the midpoint formula in three dimensions?

Tip: The midpoint formula is useful for finding the exact center of a line segment, which can be helpful in geometry problems involving bisectors or symmetry.