Answer:
See explanation
Step-by-step explanation:
Since the coordinates of D is missing, I assume the coordinates are: (4,-6).
To reflect in the line y=x, we simply swap the x and y-coordinates.
The mapping is
[tex](x,y)\to(y,x)[/tex]
Therefore
[tex]D(4, - 6)\to D'( - 6,4)[/tex]
Therefore the coordinates of D after a reflection in y=x is (-6,4)