Final answer:
The coordinates of the midpoint of the segment with endpoints O(1, -10) and R(-6, 8) are found using the midpoint formula and result in (-2.5, -1).
Step-by-step explanation:
To find the coordinates of the midpoint of a segment with endpoints O(1, -10) and R(-6, 8), we use the midpoint formula which is ((x_1+x_2)/2, (y_1+y_2)/2), where (x_1, y_1) and (x_2, y_2) are the coordinates of the two endpoints.
- The x-coordinate of the midpoint is (1 + (-6))/2 = -5/2 or -2.5.
- The y-coordinate of the midpoint is (-10 + 8)/2 = -2/2 or -1.
Therefore, the coordinates of the midpoint are (-2.5, -1).