Find the midpoint of the line segment with the given endpoints. Question 21, 1.9.19, \( (8,2) \) and \( (6,10) \) The midpoint of the segment is \( \square \) (Type an ordered pair.)

To find the midpoint of the line segment with endpoints \( (8, 2) \) and \( (6, 10) \), you can use the midpoint formula, which is given by: \[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Substituting \( x_1 = 8, y_1 = 2, x_2 = 6, y_2 = 10 \): \[ \text{Midpoint} = \left( \frac{8 + 6}{2}, \frac{2 + 10}{2} \right) = \left( \frac{14}{2}, \frac{12}{2} \right) = (7, 6) \] So, the midpoint of the segment is \( (7, 6) \). Also, keep in mind that the midpoint not only divides the segment into two equal parts but also serves as a valuable reference point in various applications, like placing a marker on a graph or finding center points in design layouts. Fun fact: the midpoint is often handy in real-life situations too, like determining the best meeting point between two friends!