https://file.aiquickdraw.com/mathbot/file/1727437278860eu46t5u3.jpg

To find the midpoint of two points on a coordinate plane, we use the midpoint formula:

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

The points given in the image are \((2, 4)\) and \((6, 1)\).

Let's calculate the midpoint:

\[
\text{Midpoint} = \left( \frac{2 + 6}{2}, \frac{4 + 1}{2} \right) = \left( \frac{8}{2}, \frac{5}{2} \right) = (4, 2.5)
\]

So, the midpoint between the two points \((2, 4)\) and \((6, 1)\) is \((4, 2.5)\).

Would you like further details or have any other questions?

Here are some related questions for you to explore:
1. How would you find the distance between these two points?
2. What is the slope of the line passing through these points?
3. Can you derive the equation of the line connecting these points?
4. How does the midpoint change if one or both points are shifted?
5. What is the geometric significance of the midpoint in a triangle?

**Tip:** The midpoint formula can also help when dealing with line segments in geometry, providing the center point of a line.

Calculate the middle of these two points (2, 4) and (6, 1)

Learn how to calculate the midpoint between the points (2, 4) and (6, 1) using the midpoint formula. This problem is suitable for students in Grades 6-8 and covers key concepts in coordinate geometry.

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