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

Question

asked Mar 3, 2018 157k views

2 Answers

David Poole · Answer 1 · 2018-03-07T23:02:03+0000

Answer:

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)