How to calculate shortest path from points in one layer to points in another layer vi

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I'm a new user of QGIS (and have experience using ArcGIS but zero programming skills) and I'm looking for a way to calculate the shortest path from addresses to subway stations via a network of roads.

I have the Road Graph plugin, however the addresses and subway stations are point layers that do not overlap with vertices in the roads layer.

In QGIS, is there a way to calculate the shortest distance from the address/subway station points to the roads, create vertices at those locations, then calculate the shortest distance via the roads network?

Hoping not to have to do each step manually, one at a time...





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