Final answer:
To find the other endpoint of a line segment, we can use the midpoint formula.
Step-by-step explanation:
To find the other endpoint of a line segment with one endpoint at (-2, 5) and midpoint at (3, 1), we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint of a line segment is the average of the coordinates of its endpoints. So, let's find the coordinates of the other endpoint.
The x-coordinate of the other endpoint is equal to twice the x-coordinate of the midpoint minus the x-coordinate of the given endpoint. So, x = 2(3) - (-2) = 8.
The y-coordinate of the other endpoint is equal to twice the y-coordinate of the midpoint minus the y-coordinate of the given endpoint. So, y = 2(1) - 5 = -3.
Therefore, the other endpoint of the line segment is (8, -3).