The midpoint of is (5, –11). The coordinates of one end UV point are U(3, 5). Find the coordinates of endpoint V

Question

The midpoint of  is (5, –11). The coordinates of one end UV point are U(3, 5). Find the coordinates of endpoint V

anonymous · Answer

the midpoint is the average of two point.

$$(\frac{x_2-x_1}{2},\frac{y_2-y_1}{2})$$substitute point U and the midpoint to find the other point

amistre64 · Answer

adding, not subtracting

amistre64 · Answer

if anything, the mispoint formula can be reworked as:
$$x_1+x_2=2~x_m$$$$x_1=2~x_m-x_2$$

anonymous · Answer

OH ya sorry my bad

anonymous · Answer

Since the midpoint is (5, –11), it implies the total length is 2(5, -11) = (10, -22)
But U(3, 5). This implies V(x, y) = (10, -22) + (3, 5) = (13, -17)
Therefore the coordinate of V is (13, -17)