Question

The midpoint of AB is M(4, -2). One endpoint is A(-2, 6). What is the other endpoint for B?

Answer 1

endpoint for B is (10,-2)

Explanation:

M={(x1+x2)/2,(y1+y2)/2}

(4,2)={-2+x2/2,6+y2/2)

By equating the x coordinates

4=-2+x2/2

8=-2+x2

8+2=x2

x2=10

By equating the y coordinates

2=6+y2/2

4=6+y2

4-6=y2

y2=-2

Therefore the endpoint for B is (10,-2)