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510100
find the midpoint between A(2,3)
B (418)

To find the midpoint between two points \( A(2, 3) \) and \( B(4, 8) \), we use the midpoint formula:

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

Where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of the two points.

Substituting the values from the points \( A(2, 3) \) and \( B(4, 8) \):

\[
\text{Midpoint} = \left( \frac{2 + 4}{2}, \frac{3 + 8}{2} \right)
\]

\[
\text{Midpoint} = \left( \frac{6}{2}, \frac{11}{2} \right)
\]

\[
\text{Midpoint} = (3, 5.5)
\]

So, the midpoint between points \( A(2, 3) \) and \( B(4, 8) \) is \( (3, 5.5) \).

Would you like more details or have any other questions? 

Here are 8 related questions to explore further:
1. How do you find the distance between two points on a coordinate plane?
2. What is the general formula for the midpoint of a line segment in 3D space?
3. How do you calculate the slope of the line connecting two points?
4. Can you derive the equation of the line passing through points \( A \) and \( B \)?
5. What is the significance of the midpoint in a geometrical context?
6. How would you find the centroid of a triangle given its vertices?
7. What is the midpoint formula used for in real-world applications?
8. How do you solve for the coordinates of a point that divides a segment in a given ratio?

**Tip:** When finding the midpoint of a segment, you're essentially finding the average of the x-coordinates and y-coordinates of the endpoints.

Discover how to find the midpoint between points A(2, 3) and B(4, 8) using the midpoint formula. This problem involves basic coordinate geometry concepts and calculations. Suitable for students in Grades 6-8.

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