Answer:
[tex]B(-17,21)[/tex]
Step-by-step explanation:
The midpoint of two points is the average of the x coordinates and the average of the y coordinates.
Given
A(3, -1)
and we let the other end point B be B(x,y)
and midpoint is (-7,10)
So, the average of 3 and x is -7, and
the average of -1 and y is 10
We can solve for x first:
[tex]\frac{3+x}{2}=-7\\3+x=2*-7\\3+x=-14\\x=-14-3\\x=-17[/tex]
and now solving for y:
[tex]\frac{-1+y}{2}=10\\-1+y=2*10\\-1+y=20\\y=20+1\\y=21[/tex]
So, the other point B is:
[tex]B(-17,21)[/tex]
