River line?

Villain is 43/6

PokerStars No-Limit Hold'em, $0.10 BB (7 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Button ($28.30)
SB ($13.60)
Hero ($9.80)
UTG ($2)
MP1 ($13.85)
MP2 ($9.50)
CO ($18.35)

Preflop: Hero is BB with Khttp://www.flopturnriver.com/phpBB2/...miles/club.gif, Khttp://www.flopturnriver.com/phpBB2/...iles/heart.gif.
4 folds, Button calls $0.10, SB completes, Hero raises to $0.75, Button calls $0.65, SB folds.

Flop: ($1.60) 8http://www.flopturnriver.com/phpBB2/...iles/heart.gif, Qhttp://www.flopturnriver.com/phpBB2/...miles/club.gif, Jhttp://www.flopturnriver.com/phpBB2/...miles/club.gif (2 players)
Hero bets $1.2, Button calls $1.20.

Turn: ($4) 5http://www.flopturnriver.com/phpBB2/...iles/spade.gif (2 players)
Hero bets $3, Button calls $3.

River: ($10) Ahttp://www.flopturnriver.com/phpBB2/...iles/spade.gif (2 players)
Hero ...

I would check/fold, he's probably only betting that river when you're beat. The hands you're hoping he has (KQ, KJ) most likely check behind there. He might occasionally bet a busted draw, but I still think c/f is the best line.