Final answer:
To identify the surface defined by a given equation, analyze the form of the equation and match it with the appropriate surface equation for a plane, sphere, cylinder, or cone.
Step-by-step explanation:
The question asks us to identify the surface defined by a given equation. In order to do that, we need to analyze the equation and determine its properties. Depending on the form of the equation, we can identify the surface as a plane, sphere, cylinder, or cone.
For example, an equation in the form of Ax + By + Cz + D = 0 represents a plane. An equation in the form of x^2 + y^2 + z^2 = r^2 represents a sphere. An equation in the form of x^2 + y^2 = r^2 represents a cylinder. And an equation in the form of x^2 + y^2 = az^2 represents a cone.
By analyzing the given equation and matching its form with the appropriate surface equation, we can determine the type of surface it represents.