The coordinates of the midpoint of a line segment joining two points (x₁,y₁) and (x₂, y₂) is given by
[(x₁+x₂)/2, (y₁+y₂)/2].
Given:
(x₁,y₁) = (3,6) for the point U.
For the midpoint,
(x₁+x₂)/2 = 5 or x₁ + x₂ = 10
(y₁+y₂)/2 = -10 or y₁ + y₂ = -20
Therefore, the coordinates of V are
3 + x₂ = 10 => x₂ = 7
6 + y₂ = -20 => y₂ = -26
Answer: V (7, -26)
