Answer:
(2,-9).
Step-by-step explanation:
It is given that the x-axis is the perpendicular bisector of the line segment joining the points (2,9) and (x,y).
It means x-axis is the line of reflection and (x,y) is the image of (2,9) across the x-axis.
Rule of reflection is
![(x,y)\to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%2C-y%29)
![(2,9)\to (2,-9)](https://tex.z-dn.net/?f=%282%2C9%29%5Cto%20%282%2C-9%29)
The point (2,-9) is the mirror image of (2,9) across the x-axis.
Therefore, the point (x,y) is (2,-9).