You can treat a common motion detector as you do any other two wire sensor excluding power. My motion detectors have two sires for the zone and two sires for 12 volt power.
The EOL resistor is for three state zone wiring and not necessary. Two states are open and closed. With two state wiring you can detect sensor open and sensor closed.
Three state is open closed and closed with resistance. One way to use three state wiring is to put a resistor in series at the sensor. When the sensor is open the resistance in the loop will be infinite.
When the sensor is closed the resistance will be the value of the resistor used.
When there is a wiring fault as when the two wires are pinched together there will be zero resistance.
In this way you are able to detect three states, open sensor, closed sensor and wire fault.
Mike.