Question

I'LL GIVE MEDAL!!!!
The midpoint of UV is (5 -11). The coordinates of one are U(3,5). Find the coordinates of endpoint V. Show your work.

Answer 1

Well a midpoint is halfway from U to V

so

\[\large \text{x-coordinate} = \frac{x_1 + x_2}{2}\]
\[\large \text{y-coordinate} = \frac{y_1 + y_2}{2}\]

Since we know the midpoint is (5,-11) and U = (3,5) we can rewrite these equations as

\[\large 5 = \frac{3 + x_2}{2}\]
\[\large -11 = \frac{5 + y_2}{2}\]

And solve for 'x' and 'y'