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if the midpoint is (2,-14) and the endpoint is (4,-13) what is the other endpoint? solve using the midpoint formula

User Mircea
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Given:

Coordinates of the midpoint = (2,-14)

Coordinates of one endpoint = (4,-13)

To find:

The coordinates of the another endpoint.

Solution:

Let us assume (a,b) be the another endpoint.

According to the midpoint formula:


Midpoint=\left((x_1+x_2)/(2),(y_1+y_2)/(2)\right)

By using the midpoint formula, we get


(2,-14)=\left((a+4)/(2),(b+(-13))/(2)\right)


(2,-14)=\left((a+4)/(2),(b-13)/(2)\right)

On comparing both sides, we get


2=(a+4)/(2)


4=a+4


4-4=a


0=a

And,


-14=(b-13)/(2)


-28=b-13


-28+13=b


-15=b

Therefore, the another end point is (0,-15).

User Calandoa
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