Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x', y'). choose the x-axis, y-axis, y=x and y= -x for the line of reflection

The point (x, y) when reflected across the x-axis becomes (x', y') = (x, -y)
The point (x, y) when reflected across the y-axis becomes (x', y') = (-x, y)
The point (x, y) when reflected across the line y = x becomes (x', y') = (y, x)
The point (x, y) when reflected across the line y = -x becomes (x', y') = (-y, x)