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

To find the midpoint of a segment with endpoints at (6, 9) and (10, 15), you use the midpoint formula: \( M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \). Plugging in the coordinates, we calculate the x-coordinate: \( \frac{6 + 10}{2} = \frac{16}{2} = 8 \), and the y-coordinate: \( \frac{9 + 15}{2} = \frac{24}{2} = 12 \). Therefore, the midpoint is at (8, 12). Knowing how to find midpoints not only helps with geometry but also in real life! For instance, if you're meeting a friend halfway between your houses, this calculation can save you time figuring out where to go. Simply find the midpoint of the coordinates of your respective homes, and voila, rendezvous established! A common mistake when calculating midpoints is neglecting to average both the x and y coordinates separately. Always ensure that you add the x-coordinates together and then the y-coordinates, dividing each result by two. It’s an easy slip, but it can lead to a wrong answer—just double-check your math!