### Instruction: The center of a circle has coordinates $(6,-5)$. The circle is reflected about the line $y=x$. What are the $x,y$ coordinates of the center of the image circle? State the $x$ coordinate first.### Response: I know that when I reflect something about the line $y=x$, I have to swap the $x$ and $y$ coordinates.
So, if the original center is $(6,-5)$, then the reflected center must be $(-5,6)$.
That means the $x$ coordinate is -5 and the $y$ coordinate is 6.