Answer:

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:

and now solving for y:

So, the other point B is:

A standard trick for finding the rational form of a repeated decimal:

Multiply by an appropriate power of 10 to move one "cycle" of the repeated pattern to the left side of the decimal point:

Now subtract

from this number and we lose the fractional part:

And from here you can solve for

.
A because you distribute the -8 to get -80x-(-24)