Question

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

Answer 1

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

Answer 2

adding, not subtracting

Answer 3

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

Answer 4

OH ya sorry my bad

Answer 5

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)