The problem asks to find the midpoint of the line segment joining two points, A(8, -7) and B(4, 3).

The formula for finding the midpoint $M$ of a line segment with endpoints $A(x_1, y_1)$ and $B(x_2, y_2)$ is:

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

Applying the coordinates of points A and B:

• $A(8, -7)$
• $B(4, 3)$

The midpoint $M$ is:

$M = \left( \frac{8 + 4}{2}, \frac{-7 + 3}{2} \right) = \left( \frac{12}{2}, \frac{-4}{2} \right) = (6, -2)$

Thus, the midpoint of the line segment is $(6, -2)$.

Would you like further details on the process?

Here are 5 related questions for more practice:

1. How do you calculate the distance between two points in a plane?
2. Can the midpoint formula be used in three dimensions?
3. What is the equation of the line passing through points A and B?
4. If the midpoint is given, how can you find one endpoint?
5. What is the significance of the midpoint in geometry?

Tip: Always double-check your arithmetic when calculating midpoint coordinates!