Final answer:
The midpoint of the line segment with endpoints R(0,5) and S(8,7) is M(4,6).
Step-by-step explanation:
To find the midpoint of a line segment, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
So, for the given endpoints R(0,5) and S(8,7), we can find the midpoint M using the following steps:
- Find the average of the x-coordinates: (0 + 8) / 2 = 4
- Find the average of the y-coordinates: (5 + 7) / 2 = 6
- The midpoint is M(4,6)