To find the midpoint of a line segment with endpoints $(-2, 7)$ and $(6, 3)$, we use the midpoint formula:

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

Here:

• $x_1 = -2$, $y_1 = 7$
• $x_2 = 6$, $y_2 = 3$

Now, applying the formula:

$\text{Midpoint} = \left( \frac{-2 + 6}{2}, \frac{7 + 3}{2} \right)$ $\text{Midpoint} = \left( \frac{4}{2}, \frac{10}{2} \right)$ $\text{Midpoint} = (2, 5)$

So, the midpoint of the segment is $(2, 5)$.

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you find the midpoint of three-dimensional coordinates?
2. What is the distance between two points in a coordinate plane?
3. Can a midpoint have decimal values?
4. How do you calculate the length of a line segment with given endpoints?
5. What are some real-life applications of midpoint calculations?

Tip: The midpoint always lies exactly halfway between two points on a line segment.