Question

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P). P = (5, 6) and M = (8, 2)

Answer 1

5+x/2=8
5+x=16
x=11
6+y/2=2
6+y=4
y=-2
(11,-2)

Answer 2

Answer with Step-by-step explanation:

If the mid point of (x1,y1) and (x2,y2) is (a,b)

Then, $a=\dfrac{x1+x2}{2}\ and\ b=\dfrac{y1+y2}{2}$

Here we are given that M is a mid point of P and let Q be another end point

i.e. (a,b)=(8,2)and (x1,y1)=(5,6)

We have to find (x2,y2)

$8=\dfrac{5+x2}{2}\ and\ 2=\dfrac{6+y2}{2}$

16=5+x2  and  4=6+y2

x2=16-5  and y2=4-6

x2=11  and  y2= -2

Hence, coordinate of other mid point is:

(11,-2)