There's no single answer to the depth of the continental slope in the Indian Ocean because:

* Continental slopes vary significantly in depth. They depend on geological processes like tectonic activity and sediment deposition.

* The Indian Ocean is vast and diverse. Its continental slopes range in depth from shallow to very deep.

However, we can provide some general information:

* Average depth: The average depth of the continental slope in the Indian Ocean is roughly 2,000 to 3,000 meters (6,562 to 9,843 feet).

* Deepest points: Some continental slopes in the Indian Ocean, particularly near subduction zones, can reach depths exceeding 4,000 meters (13,123 feet).

To get a more precise depth for a specific location, you would need to consult detailed bathymetric maps or oceanographic research data.