Respuesta :

In transformations, the original figure is called "Pre-Image" and the figure obtained after the transformation is called "Image".

In this case, you know that the Pre-Image is the following point given in the exercise:

[tex](-7,4​)[/tex]

By definition, the rule of a reflection over the line

[tex]y=x[/tex]

is the following:

[tex](x,y)\rightarrow\mleft(y,x\mright)[/tex]

Therefore, applying this rule to the point given in the exercise, you get that its Image is:

[tex]\mleft(-7,4\mright)​\rightarrow(4,-7)[/tex]

The answer is:

[tex](4,-7)[/tex]