Answer:
(- 2, - 3 )
Step-by-step explanation:
Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[0.5(x₁ + x₂), 0.5(y₁ + y₂ ) ]
Here (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (x, y) and the midpoint = (0, 0), thus
0.5(2 + x) = 0 , that is
2 + x = 0 ( subtract 2 from both sides )
x = - 2
0.5(3 + y) = 0, that is
3 + y = 0 ( subtract 3 from both sides )
y = - 3
Thus (x, y) = (- 2, - 3 )
