Respuesta :

Answer:

  d.  x +y = 0

Step-by-step explanation:

You want to know the equation that (b, -b) is the solution to.

Equation

We can see that the ordered pair (x, y) has x=b and y=-b. These are not equal, so this is not the solution to y=x. (These considerations eliminate answer choices A, B, C.)

The equation of choice D can be rearranged to ...

  x +y = 0

  y = -x

Then if x=b, we have ...

  y = -x = -b

The solution to the equation x + y = 0 is (b, -b), choice D.