how should i transport easily breakable graphics tablet

Carry on, place under seat.

I would get a case, if possible. Even just a cheap, $10 case can give a lot of peace of mind. I keep all my tablet type devices in my computer bag in cases, and I've never had an issue with them getting scratched or damaged, but I've never tried to bring a "graphics tablet" which I assume is one of those tablets with a stylus for graphic design. I suppose that's a bit more complicated, but the same general principle applies- if you can't get a case, get one of those bubble mailers, the yellowish envelopes with a little bit of bubble wrap inside, and put it in that.

delicately

With your hands.

6 rolls of duct tape, 3 pillows, and a goat.

Step 1) Feed the goat.
Step 2) Place the graphics table securely in the middle of the 3 pillows.
Step 3) Use copious amounts of duct tape to secure the pillows to the graphics tablet.
Step 4) Use remaining duct tape to fasten the pillow-encased graphics table to the goat's back.

Well, you are gonna need the following things (maybe even more, depending on weather and stuff):

1. Bubble wrap, LOADS of bubble wrap
2. Pillows
3. Duct tape
4. A monkey
5. A little RC airplaine (monkey needs to fit inside it)

On a serious note though: I think bubble wrap would be very good to begin with. After you have wrapped it in this but it in some sort of tablet bag (see picture) and maybe even put this in another bag. If you need it as soon as you arrive, I wouldn't put it into the luggage, in case it goes missing. Also: If you really go for bubble wrap, you should also think about if you can get bubble wrap a secon time to transport it back.

Well... after typing all of this I realise that a "tablet bag" really should do the trick if you take it with you into the plane... too much typing to delete it again... I'll get some sleep now O.o

View attached image.

Just be sure to place it ABOVE the explosives, then I can guarantee it wont break.