Square PQRS has vertices P (2, 6), Q (6, 5), R (5, 1). What are the coordinates of S?

S=\(\boxed{1,2}\)

Just draw a graph using paper and you will find it

Hello, I agree

Here is the graph for proof:

https://www.desmos.com/calculator/ucqpddhlpo

Here's a non-graphical solution

The slope between P and Q = ( 5-6) / ( 6 -2) = -1/4

And RS will be parallel to this

So....using the slope between P and Q and the coordinates of point R....the coordinates of S = [ 5 - 4, 1 - (-1) ] = (1, 2)