Answer:
U(2, 5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
let U = (x, y)
Use the midpoint formula and equate to the coordinates of M , that is
x = [tex]\frac{1}{2}[/tex] (x + 17) = 9.5 ( multiply both sides by 2 )
x + 17 = 19 ( subtract 17 from both sides )
x = 2
y = [tex]\frac{1}{2}[/tex] (y - 11 ) = - 3 ( multiply both sides by 2 )
y - 11 = - 6 ( add 11 to both sides )
y = 5
Thus coordinates of U = (2, 5 )
