Sometimes they do, sometimes they don't.
It depends upon which quadrant the point is in:
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Y Equals X PointsAll points that has the same y coordinates as x coordinates are on the y=x line.
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
substitute 0 for y and solve for x. then substitute x for 0 and solve for why and you have the x and y coordinates
The formula is (x,y) -> (y,-x). Verbal : switch the coordinates ; then change the sign of the new x coordinate. Example : (2,1) -> (1,-2)
It is simply the difference between their y coordinates.