Question

What is the image of (6, -7) after a reflection over the line y = x?

a) (7, 6)
b) (6, -7)
c) (-6, 7)
d) (-7, 6)

Answer 1

To find the image of the point (6, -7) after reflection over the line y = x, we swap the coordinates resulting in the image at (-7, 6), which is answer (d).

Step-by-step explanation:

The question asks about the image of a point after a reflection over the line y = x. To reflect the point (6, -7) over the line y = x, we swap the x and y coordinates. This results in the reflected point being the inverse of the original point, thus the image is at (-7, 6). Therefore, the correct answer is (d) (-7, 6).