To find the midpoint of the segment with endpoints $(6, 7)$ and $(2, 1)$, you can use the midpoint formula:

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

Given the endpoints $(6, 7)$ and $(2, 1)$, let's calculate:

1. Calculate the average of the $x$-coordinates: $\frac{6 + 2}{2} = \frac{8}{2} = 4$

2. Calculate the average of the $y$-coordinates: $\frac{7 + 1}{2} = \frac{8}{2} = 4$

So, the midpoint of the segment is:

$(4, 4)$

Would you like further details or have any questions?

Here are 5 related questions you might be interested in:

1. How would the midpoint change if the segment's endpoints were moved?
2. How do you find the midpoint in a coordinate plane with negative coordinates?
3. Can the midpoint formula be used for a line segment in a three-dimensional space?
4. How do you find the distance between the midpoint and one of the endpoints?
5. How does the concept of a midpoint apply to geometric shapes like triangles and quadrilaterals?

Tip: When using the midpoint formula, always ensure that you're correctly averaging both the $x$ and $y$ coordinates separately to avoid errors.