The coordinates of the image of P(3,-4)under a reflection in the x-axis are:

Given:
The point is (3, -4).
To find:
The coordinates of the image of the point under a reflection on the x-axis.
Explanation:
The reflection over the x-axis rule is,
[tex](x,y)\rightarrow(x,-y)[/tex]Applying the rule, we get
[tex](3,-4)\rightarrow(3,4)[/tex]Therefore, the coordinates of the image of the given point are (3, 4).
Final answer:
The coordinates of the image of the given point are (3, 4).