There are primarily two kinds of relationships - symbiotic and parasitic. A symbiotic relationship is the one that is based on mutual interdependence of two organisms or a group of organisms. It depends on helping each other by means of their activities or in the form of a support. In this kind of a relation, both the animals can survive in the environment.
On the other hand, a parasitic relationship is the kind of relationship in which one organism attaches itself to another organism known as the host. It feeds off the energy and other benefits from the host organism giving nothing in return to its host. A parasite continues to feed off the host until the host is completely wasted off and dies.
Given the amount of wastes that are being generated, the resources that are being exhausted and the living things that are endangered due to the acts of humans, and failing to return any of these back to the environment, our relationship with Earth could be termed as an parasitic relationship.