Question

Find the coordinates of the other endpoint if the midpoint is m(8, 2) and the other endpoint is p(5, 6)

Answer 1

This problem the anwser is (11,-2)

Answer 2

Other end point is (11,-2)

Explanation:

We know the formula for the mid point is given by

`(x,y)=((x_1+x_2)/(2),(y_1+y_2)/(2))`

We have been given that

Mid point is m(8,2)

one end point is p(5,6)

Let the other end point is (a,b)

Hence, applying the mid point formula for these values, we get

`(8,2)=((5+a)/(2),(6+b)/(2))`

Thus, we have

`(5+a)/(2)=8\\\\5+a=16\\\\a=11`

Similarly, we have

`(6+b)/(2)=2\\\\6+b=4\\\\b=-2`

Therefore, the other end point is (11,-2)