Answer:
Y(0, - 14 )
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 ) ]
Use the midpoint formula and equate corresponding parts to the coordinates of the given midpoint
let Y = (x, y ), then
[tex]\frac{1}{2}[/tex] (4 + x) = 2 ( multiply both sides by 2 )
4 + x = 4 ( subtract 4 from both sides )
x = 0
and
[tex]\frac{1}{2}[/tex] (4 + y ) = - 5 ( multiply both sides by 2 )
4 + y = - 10 ( subtract 4 from both sides )
y = - 14
Thus
coordinates of Y = (0, - 14 )
