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
[tex](x,y)\to (x,-y)[/tex]
[tex](2,9)\to (2,-9)[/tex]
The point (2,-9) is the mirror image of (2,9) across the x-axis.
Therefore, the point (x,y) is (2,-9).
