So I ended up figuring it out myself for anyone who is interested…
The lines were coming in from the left of screen.
I made a shape for each line (eg orange triangle).
Then I pasted the path that I wanted them to travel along onto their position value (making sure their anchor point was centered).
Then right click > trransform > auto-orient > orient to path
This key frames the shape moving along the path.
Then apply Echo effect (Time>echo) and adjust the setting to suit desired spacing and amount of repetitions needed.
Done!