Find the coordinates of the midpoint of the segment whose endpoints are H(7, 5) and K(3, 9).

To find the coordinates of the midpoint of a line segment, you can use the midpoint formula:

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

Here, the coordinates of the endpoints are \( H(7, 5) \) and \( K(3, 9) \).

Let's apply the formula:

\[
\text{Midpoint} = \left( \frac{7 + 3}{2}, \frac{5 + 9}{2} \right)
\]

Simplifying:

\[
\text{Midpoint} = \left( \frac{10}{2}, \frac{14}{2} \right)
\]

\[
\text{Midpoint} = (5, 7)
\]

So, the coordinates of the midpoint are \( \mathbf{(5, 7)} \).

Would you like more details on this solution or have any questions?

Here are some related questions:
1. How do you find the length of a line segment given two points?
2. What is the formula for the slope of a line segment?
3. How do you find the equation of a line given two points?
4. Can you determine if two line segments are parallel given their endpoints?
5. How do you find the distance between two points in a coordinate plane?

**Tip:** When calculating midpoints, ensure you correctly average the x-coordinates and y-coordinates separately to avoid errors.

Learn how to find the midpoint of a line segment with endpoints H(7, 5) and K(3, 9) using the midpoint formula. This problem covers key concepts in coordinate geometry, including the calculation of midpoints in a Cartesian plane. Suitable for students in Grades 7-9.

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