Find the coordinates of the midpoint of a segment with endpoints at (6, 9) and (10, 15).

To find the coordinates of the midpoint, you can use the midpoint formula, which is \((x_m, y_m) = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)\). Plugging in your endpoints (6, 9) and (10, 15): For the x-coordinate: \(\frac{6 + 10}{2} = \frac{16}{2} = 8\). For the y-coordinate: \(\frac{9 + 15}{2} = \frac{24}{2} = 12\). So, the coordinates of the midpoint are (8, 12). What a delightful journey to midpoint magic! Whether you're plotting points on a graph or simply enjoying a stroll through coordinate land, finding the average of your endpoints is like discovering a hidden treasure in the realm of geometry! In the real world, midpoints come in handy more often than we think. Whether you’re planning a road trip and want to find a good spot to stop for lunch or you're coordinating a meeting location between two teams in different offices, the midpoint is your trusty sidekick, ensuring everyone gets there with ease!