Answer:
To find the other endpoint of segment AB, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of its endpoints.
Given:
- Midpoint M: (x₁, y₁) = (-7, 4)
- Endpoint A: (x₂, y₂) = (13, 9)
To find the other endpoint B, we can use the midpoint formula:
- x-coordinate of B: (x₁ + x₂) / 2 = (-7 + 13) / 2 = 6 / 2 = 3
- y-coordinate of B: (y₁ + y₂) / 2 = (4 + 9) / 2 = 13 / 2 = 6.5
Therefore, the coordinates of point B are (3, 6.5). This is the other endpoint of segment AB.
Explanation: