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Line segment AB has a midpoint M (7,-3). If one endpoint is A (10,-1), what are the coordinates of endpoint B?

Respuesta :

The answer is (4, -3) for The second endpoint.  

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.

(Ax + Bx)/2 = Mx

(Bx + 10)/2 = 7

Bx + 10 = -14

Bx = 4

And now we do the same thing for y values

(Ay + By)/2 = My

(By + -1)/2 = -3

By + -1 = -6

By = -5

This gives us the final point of (4, -5)