Given the equation of a Conic Section:

You need to remember that the General Form for a Conic Section is:

By definition, you can use this formula to find the Discriminant, in order to determine the shape of the Conic Section:

If:
- The Discriminant is negative, then the Conic Section is an Ellipse.
- The Discriminant is greater than zero, then the Conic Section is a Hyperbola.
- The Discriminant is zero, then the Conic Section is a Parabola.
In this case, you can identify that:

Therefore, by substituting values into the formula and evaluating, you get:


Notice that the discriminant is greater than zero. Therefore the Conic Section is a Hyperbola.
Hence, the answer is: It represents a Hyperbola because the Discriminant is greater than zero.