Find the other endpoint of the line segment with the given endpoint and midpoint: Endpoint - (-3, 1) Midpoint - (1, -1)
To find the other endpoint, we can use the formula for finding the midpoint. The formula is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Let's substitute our known values into the formula:
(1, -1) = ((-3 + x2) / 2, (1 + y2) / 2)
We can solve for x2 and y2 by multiplying both sides of the equation by 2:
2(1, -1) = (-3 + x2, 1 + y2)
(2, -2) = (-3 + x2, 1 + y2)
To isolate x2 and y2, we can add 3 to both sides of the equation:
(2 + 3, -2) = (-3 + 3 + x2, 1 + y2)
(5, -2) = (x2, 1 + y2)
Therefore, the other endpoint of the line segment is (5, -2).