The midpoint of uv is (5, -10). the coordinates of one endpoint are u(3,6). find the coordinates of endpoint v. how do i use the midpoint formula for this?

The answer is (7, -26) for The second endpoint.  

We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Ux + Vx)/2 = Mx

(Vx + 3)/2 = 5

Vx + 3 = 10

Vx = 7

And now we do the same thing for y values

(Uy + Vy)/2 = My

(Vy + 6)/2 = -10

Vy + 6 = -20

Vy = -26

This gives us the final point of (7, -26)

The coordinates of point V is (7,-26)

Step-by-step explanation:

Let W be the midpoint of line UV

So, Coordinates of W = (x,y) = (5,-10)

We are given that coordinates of point U are =(3,6)

Now to find the coordinates of point V denoted by   , we will use mid point formula since UV is the line and W is its midpoint .

Formula of midpoint :

Now putting values in the formula we will get :

Thus  

⇒

⇒

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Now,

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⇒

Thus,   =(7,-26)

Hence ,The coordinates of point V is (7,-26)

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step-by-step explanation:

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