Answer:
C = (1, 14 )
Step-by-step explanation:
The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.
Find the average of endpoints and equate to coordinates of midpoint
A (5, - 2 ) , let C = (x, y ) , then
[tex]\frac{x+5}{2}[/tex] = 3 ( multiply both sides by 2 )
x + 5 = 6 ( subtract 5 from both sides )
x = 1
and
[tex]\frac{y-2}{2}[/tex] = 6 ( multiply both sides by 2 )
y - 2 = 12 ( add 2 to both sides )
y = 14
Coordinates of C = (1, 14 )
