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Determine the other endpoint when given the endpoint (-11,9) and the midpoint (3,-11)

Sagot :

Midpoint = (3,-11)

Enpoint 1 = (-11,9) = (x1,y1)

Endpoint 2 = (x2,y2)

To find the missing endpoint we have to apply the midpoint formula:

[tex]m=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

So, for mx:

Midpoint x=3 = (x1+x2)/2 =

3= (-11+x2)/2

Solve for x2

3(2) = -11+x2

6= -11+x2

6+11=x2

17=x2

For my:

Midpoint y = -11 = (y1+y2)/2

-11= (9+y2)/2

Solve for y2

-11(2) = 9+y2

-22 = 9+y2

-22-9 =y2

-31 = y2

Endpoint 2 = (17,-31)

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