Answer:
The coordinates of B are (10,2)
Step-by-step explanation:
Hi there!
We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)
We want to find the coordinates of point B
The midpoint formula is
, where
and
are points. In this case, the point C has the values of
, and B has the values of 
We know that coordinates of M equal 
In other words,

Let's plug 2 for
and 10 for 
So:

Multiply both sides by 2

Subtract 2 from both sides in the first equation to find the value of
:

Now, for the second equation, subtract 10 from both sides to find the value of 

Now substitute these values for 

So the coordinates of point B are (10, 2)
Hope this helps!