Answer:
The other endpoint is (7, -5)
Step-by-step explanation:
We can use the formula for the midpoint to find the coordinates of the other endpoint of the segment BC:
xm = x1 + (x2 - x1)/2
ym = y1 + (y2 - y1)/2
For our case, replacing the given coordinates and solving for x2 and y2 (the coordinates of the other endpoint) we get:
For x2:
xm = x1 + (x2 - x1)/2
5 = 3 + (x2 - 3)/2
5 - 3 = (x2 - 3)/2
2 = (x2 - 3)/2
4 = x2 - 3
x2 = 4 + 3 = 7
For y2:
ym = y1 + (y2 - y1)/2
-2 = 1 + (y2 - 1)/2
-2 -1 = (y2 - 1)/2
-3 = (y2 - 1)/2
-6 = y2 - 1
y2 = -6 + 1 = -5
Therefore the other endpoint is (7, -5)
