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?

Answer 1

To find the ordered pair of point Y, we need to determine the coordinates of point Y.

Given that the midpoint of line segment XY is (2, 8), we can use the midpoint formula to find the coordinates of Y.

The midpoint formula is:

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Let's substitute the given values into the formula:

(2, 8) = [(10 + x)/2, (4 + y)/2]

To simplify, let's solve for x and y separately.

For x:
2 = (10 + x)/2
2 * 2 = 10 + x
4 = 10 + x
x = 4 - 10
x = -6

For y:
8 = (4 + y)/2
8 * 2 = 4 + y
16 = 4 + y
y = 16 - 4
y = 12

Therefore, the ordered pair of point Y is (-6, 12).