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To find the midpoint of two points, we use the midpoint formula:

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

Given points \( A(3, 5) \) and \( B(7, 2) \), we can substitute these values into the formula:

\[
\text{Midpoint} = \left( \frac{3 + 7}{2}, \frac{5 + 2}{2} \right) = \left( \frac{10}{2}, \frac{7}{2} \right) = (5, 3.5)
\]

So, the midpoint of points \( A(3, 5) \) and \( B(7, 2) \) is \( (5, 3.5) \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How is the distance between two points calculated?
2. How do you find the slope of the line between two points?
3. What is the equation of the line passing through points \( A(3, 5) \) and \( B(7, 2) \)?
4. Can the midpoint formula be extended to 3D points?
5. What is the significance of the midpoint in geometric problems?

**Tip:** The midpoint is the average of the x-coordinates and y-coordinates of the two points, providing the center of the line segment between them.

Find the midpoint of points A(3, 5) and B(7, 2) graphically.

Learn how to find the midpoint of two points A(3, 5) and B(7, 2) using the midpoint formula and graphical representation. This problem covers key concepts in coordinate geometry and is suitable for students in Grades 6-9.

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