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To find the midpoint of two points \( A \) and \( B \), you use the midpoint formula:

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

Given the coordinates of \( A \) and \( B \) are:
- \( A(5, 1) \)
- \( B(1, 7) \)

Let's apply the formula step-by-step:

1. Calculate the average of the x-coordinates:
\[ x_{\text{mid}} = \frac{5 + 1}{2} = \frac{6}{2} = 3 \]

2. Calculate the average of the y-coordinates:
\[ y_{\text{mid}} = \frac{1 + 7}{2} = \frac{8}{2} = 4 \]

Thus, the midpoint of \( A \) and \( B \) is:
\[ (3, 4) \]

Would you like further details or have any questions?

Here are some related questions:
1. How do you find the distance between two points?
2. What is the formula for the slope of a line between two points?
3. How do you find the equation of the line passing through two points?
4. What are some practical applications of finding midpoints in real life?
5. Can you explain the concept of the centroid of a triangle using midpoints?

**Tip:** Always double-check your calculations to ensure accuracy, especially when dealing with coordinates and formulas.

Find the midpoint of A and B where A has coordinates (5, 1) and B has coordinates (1, 7).

This problem involves finding the midpoint of two points A(5, 1) and B(1, 7) using the midpoint formula. Step-by-step instructions are provided, suitable for students in Grades 6-8 studying coordinate geometry.

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