Answer:
(12, 10 )
Step-by-step explanation:
Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ (x₁ + x₂ ),
(y₁ + y₂ ) ]
let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.
(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then
(- 2 + x) = 5 ( multiply both sides by 2 )
- 2 + x = 10 ( add 2 to both sides )
x = 12
(6 + y) = 8 ( multiply both sides by 2 )
6 + y = 16 ( subtract 6 from both sides )
y = 10
Thus
The other endpoint is (12, 10 )
