Tonari no Seki no Yatsu ga Souiu Me de Mitekuru - Ch. 41

[HYBRID_BEING]

Wow, I must commend his logic - in his place i wouldn't have been be able to arrive at that conclusion.
He deserved getting hit for that smugface, though, lol.

What's so special about Line that he was going mental trying to figure out how to get her contact info, despite sharing his Facetime contact without hiccups? I mean, i know Line is kind of a big thing in Japan, but sheesh...
Also, social media ban in the family, but Line is ok?

communicates just fine on line with other guy even with all these problems

Also as a other commenter mentioned Eguichi's already using line with other people so why would she be having trouble with it? If she keeps using it with those people she'd get better over time. The guy who made Ikeawa jealous and started this arc has been using line to message with her.

So, I wonder if she talks to other on Line and while she is shy/nervous about how others perceive her she also doesn't really care all that much.

That guy was talking about health committee stuff, so he is most likely also on the health committee and it's not weird for fellow members to contact each other via IM for anything committee-related. Nowhere was it said that she is using Line actively, though. And, as Takuma_Aki and mrclamp said, she's most likely extra nervous about talking to Ikezawa on Line.