Find the midpoint of the segment with the following endpoints.
left parenthesis, 8, comma, 7, right parenthesis, and , left parenthesis, 2, comma, 10, right parenthesis
(8,7) and (2,10)

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.

Learn how to find the midpoint of a line segment with endpoints (8, 7) and (2, 10) using the midpoint formula. This problem involves basic coordinate geometry concepts and is suitable for students in Grades 7-9.

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