1. **Problem statement:** Point M is the midpoint of line segment AB. We want to understand what this means and how to find coordinates of M if coordinates of A and B are known. 2. **Formula:** The midpoint M of a segment AB with endpoints $A(x_1,y_1)$ and $B(x_2,y_2)$ is given by: $$ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) $$ This formula means the midpoint's coordinates are the averages of the corresponding coordinates of A and B. 3. **Explanation:** The midpoint divides the segment into two equal parts. So, the distance from A to M equals the distance from M to B. 4. **Example:** If $A = (2, 3)$ and $B = (6, 7)$, then $$ M = \left( \frac{2 + 6}{2}, \frac{3 + 7}{2} \right) = (4, 5) $$ 5. **Summary:** To find the midpoint, add the x-coordinates of A and B, divide by 2, and do the same for the y-coordinates. This gives the exact center point M on the line segment AB.