I require help for this quadratic & equation of a circle problem involving indices.

Question

Two equations are defined as:

3y -2x +3 =0

x²+y²=45

What is the value of y^-x? 

Answer 1

What you are looking for is not clear.

The straight line and the circle intersect: one of the points of intersection is (6,3); the other is where x=-5.07.

if you really want y^(-x), one of the answers for that is 1/729.

if you clarify the problem, please post again.