The graph of the equation xy=4 is symmetric with respect to which of the following?

a.

the y-axis

c.

the line y = x

b.

the line y=-x+4

d.

the x-axis

The graph of x and y = 4 is symmetric with respect to the line x = y.

Therefore, the answer is the second option shown above, which is:

the line y = x

Below is a graph where you can see the symmetry of xy = 4 with respect to the oblique axis x = y. This axis cuts the curves just at its apex