If the midpoint of line segment XY is at (2, 8)
and point X is at (10, 4)
, what is the ordered pair of point Y?(1 point)
Responses
(4, −2)
(4, −2)
(6, 6)
(6, 6)
(5, 2)
(5, 2)
The midpoint of line segment XY is (2, 8) and point X is (10, 4). To find the ordered pair of point Y, we can use the midpoint formula:
Midpoint formula: ( (x1 + x2) / 2, (y1 + y2) / 2 )
Plugging in the given values:
( (10 + x) / 2, (4 + y) / 2 )
Simplifying the equation:
(10 + x) / 2 = 2
10 + x = 4
x = -6
(4 + y) / 2 = 8
4 + y = 16
y = 12
Therefore, the ordered pair of point Y is (-6, 12).