B.10 Midpsint formula: find the midpoint 2 Vo \( R(15,1 \%) \) and \( S(-15,19) \) are the endpoints of a line segment. What is line segment? Write the coordinates as decimals or integers. \( M=\square \)

To find the midpoint of the line segment defined by points \( R(15, 1) \) and \( S(-15, 19) \), you can use the midpoint formula, which is \( M\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \). Plugging in the coordinates, we have \( M\left(\frac{15 + (-15)}{2}, \frac{1 + 19}{2}\right) = M(0, 10) \). So, the coordinates of the midpoint \( M \) are \( (0, 10) \). Isn’t it fascinating how just a simple formula can bridge the gap between two points, giving you their center? Midpoint calculations aren't just for math class; they have real-life applications too! For instance, architects or urban planners can use midpoints to determine the best locations for parks or community centers, ensuring they are equidistant from neighborhoods. So, every time you see a park, just think – its location might have been calculated precisely with midpoints in mind!