Which type of court administers justice according to the rules of equity?

The type of court that administers justice according to the rules of equity is indeed the court of equity. Courts of equity were established to address situations where the rigid application of law would lead to unjust outcomes. They rely on principles of fairness, justice, and conscience, allowing judges the discretion to provide remedies that are not constrained by strict legal rules.

In contrast, a court of law typically focuses on the application of statutory law and precedent, often providing monetary damages as remedies. The court of appeals primarily functions as an appellate court, reviewing decisions made by lower courts for errors of law, rather than administering justice under equitable principles. District courts serve as trial courts that generally handle both civil and criminal cases but do not exclusively focus on equity.

Therefore, the function of administering justice according to the rules of equity clearly aligns with the role of a court of equity, which ensures flexibility and fairness in legal adjudication.