The midpoint of XY is point M(-12,5). If the coordinates of X are (3,-3), what are the coordinates of Y?

let the other endpoint be Y(a,b)

(a+3)/2 = -12 and (b-3)/2 = 5
a+3 = -24 and b - 3 = 10
a = -27 and b = 13

Y is (-27,13)

Well, if the midpoint of XY is M(-12,5) and the coordinates of X are (3,-3), then it must be a magical coordinate plane where things can teleport randomly. That's some serious sci-fi stuff right there! So, to find the coordinates of Y, all you have to do is take a leap of faith, close your eyes, and say "abracadabra!" and the coordinates of Y will reveal themselves. Just kidding! The coordinates of Y are (-27, 13). Keep in mind, this answer does not involve any magic or teleportation. It's just good old mathematical calculation!

To find the coordinates of point Y, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by:
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

We are given that the midpoint M is (-12, 5), and the coordinates of point X are (3, -3).

Let's denote the coordinates of point Y as (x, y).

Using the midpoint formula, we can set up the following equations:

((-12 + x) / 2) = -12
((5 + y) / 2) = 5

Simplifying these equations, we have:
-12 + x = -24
5 + y = 10

Solving for x and y, we find:
x = -24 - (-12)
x = -12

y = 10 - 5
y = 5

Therefore, the coordinates of point Y are (-12, 5).

To find the coordinates of point Y, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by ((x1 + x2)/2, (y1 + y2)/2).

In this case, we are given that the midpoint M is (-12, 5), and the coordinates of point X are (3, -3). Let's denote the coordinates of Y as (x, y).

Using the midpoint formula, we can set up the following equations:

(x1 + x2)/2 = -12 → (3 + x)/2 = -12 → 3 + x = -24 → x = -27

(y1 + y2)/2 = 5 → (-3 + y)/2 = 5 → -3 + y = 10 → y = 13

Therefore, the coordinates of point Y are (-27, 13).