The midpoint of UV is (5, -11). The coordinates of one endpoint are U(3, 5). Find the coordinates of endpoint V.

Question

anonymous · Answer

@iambatman  @uri ?

anonymous · Answer

@$w3G_Godd

anonymous · Answer

@iPwnBunnies

ipwnbunnies · Answer

Ok, take it one component at a time. Let's do x component of the midpoint.
Mid point formula for x is
$$\frac{x_1 + x_2}{2} = x_{3}$$ , where x3 is the x-component of the midpoint

ipwnbunnies · Answer

$$\frac{3 + x_{2}}{2} = 5$$
Solve for x2, that'll be the x-value of the remaining end point. 
Do the same for the y-value.

anonymous · Answer

Okay, thank you @iPwnBunnies , but what y value?

anonymous · Answer

I know of the endpoint, but where would I plug it in?

ipwnbunnies · Answer

It's just another point you're trying to find. So, like when you solve for x2, you get 7.
(7, Y) will be the endpoint you're trying to find.

To find the y-value, use the same formula, and the use y-values from the given endpoint and midpoint.

$$\frac{5 + y_{2}}{2} = -11$$

anonymous · Answer

Ohh, thank you :) @iPwnBunnies

anonymous · Answer

@iPwnBunnies I got 3i , is this right?