Given that Runescape itself is a browser game, yes.
No, membership is not needed to get Dragon Slayer Class.
There is no doom slayer. you need to buy it
go to runehq.com they have everything you will need for runescape
If your talking about the Dragon Slayer in Adventure Quest then it's called Guardian and yes you do. Scholar and Fighter both have to reach level 10 before you can exceed in the Dragon Slayer Class. As a Normal User your Class can only reach 5 MAX.
If you want to, u need to beat the red dragon 8 times. answer from DrakoFighter
Do dragon slayer
you need to get 5 undead slayer badges
If you look at the Dragon Slayer quest in your quests tab, it should tell you all the recommendations that you will need, if it doesn't or they are lined out - it means that you are ready to start the quest.
From the dragon slayer shop in /join lair
You just fight him, and have a good amount of food on you. You will need a dragonfire shield. That's about it.
You need to do Champions quest to get in ( Dragon Slayer ).
Laxus is a '2nd generation' Lightning Dragon Slayer. Rather than being raised by a dragon, like Natsu, his father implanted a dragon magic lacrima crystal into him when he was a child, giving him dragon slayer powers.