The ionic compound with the formula Ag₃P is called silver phosphide.

Here's how to determine the name:

* Silver (Ag) is a transition metal, and its charge can vary. In this case, it has a +1 charge (Ag⁺) to balance the -3 charge of the phosphide ion (P^3-).

* Phosphorus (P) is a nonmetal that forms the phosphide ion (P^3-).

* When naming ionic compounds, we use the name of the metal followed by the name of the nonmetal with the suffix "-ide."

Therefore, the name of the ionic compound Ag₃P is silver phosphide.