How many possible points so that the x-coordinate an the y-coordinate are additive inverses of each other, and the differnce of the coordinates is 10.

Answer 1

ABS(X-Y)=10

PICK A FEW POINTS.

y=1000, THEN X=1010 OR 990
X=-37.3 THEN Y= -27.3 OR -47.3

Looks like I could pick millions, or an infinite number, of points

Answer 2

I can see only

(5,-5) and (-5,5)

any other pairs of additive inverses do not differ by 10