Hooking up internet essential to my tv?

I signed up for Comcast internet essentials and received my self install modem for Xfinity wifi.  I hooked to to the coax cable and plugged into outlet.  Seems to be working fine. 

QUESTION:  Am I supposed to hook the ethernet cord from  modem to my smart tv so that my tv has wifi and I can watch Netflix on it?  They are on opposite sides of the room and cannot get wireless connection.  

I doubt I have a long enough coax cable to reach across the room.  

Does anyone have a solution so I can have wifi to my tv, cause it's got all these extra channels I like to watch.  Right now I'm only getting antenna tv.  My phone is through qlink.  And i dont have a computer.  So the internet essentials dosent really help me if the internet can go to my tv.