Final answer:
To find the coordinates of the other endpoint of the line segment with an endpoint at (1,2) and a midpoint at (5,8), you can use the midpoint formula. The coordinates of the other endpoint are (9,14).
Step-by-step explanation:
To find the coordinates of the other endpoint of the line segment, you need to 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.
Given that the endpoint is at (1,2) and the midpoint is at (5,8), we can use the midpoint formula to find the coordinates of the other endpoint:
x-coordinate of the other endpoint: (1 + x) / 2 = 5, where x is the x-coordinate of the other endpoint. Solving for x, we get x = 9.
y-coordinate of the other endpoint: (2 + y) / 2 = 8, where y is the y-coordinate of the other endpoint. Solving for y, we get y = 14.
Therefore, the coordinates of the other endpoint of the line segment are (9,14).