Question

What is the image of the point (4,-7) after a reflection over the line y=x?

A) (7,4)
B) (-4,7)
C) (4,7)
D) (-7,-4)

Answer 1

The image of the point (4,-7) after a reflection over the line y=x is (-7,4).

Step-by-step explanation:

To find the image of point (4,-7) after a reflection over the line y=x, we need to switch the x-coordinate with the y-coordinate. This will give us the new coordinates for the reflected point.

So, for the point (4,-7), the new coordinates will be (-7,4).

Therefore, the image of the point (4,-7) after a reflection over the line y=x is (-7,4).