Quotient of Two Linear Functions

The equation, , expresses a relation formed by the quotient of two linear functions.

Determinine the minimal restrictions on a, b, c, and d for y to be defined.

Prove that this relation is a hyperbola for appropriate values of a, b, c, and d.

Prove that the hyperbola is rectangular and determine the equations for the asymtotes in terms of a, b, c, and d.

Is this a function for some domain of x? If so, does it have an inverse?