This is an article of MLP shipping.
Shipping/Relationships is basically putting two characters in love, or shipping them together. Most notable examples are Twixie (Twilight Sparkle and Trixie), AppleDash (Applejack and Rainbow Dash), Twinkie Pie (Pinkie Pie and Twilight Sparkle), Rarishy (Rarity and Fluttershy), Rainbowshy (Fluttershy and Rainbow Dash), and Rarijack (Rarity and Applejack). Other examples are Appleshy, PinkieDash, RariDash, TwiDash, RariTwi, TrixJack (only in one picture, mind you), and possibly CelestTwi. There has also been talk of shipping Princess Luna with Twilight and a little bit of Sunny Rays.
Throughout the show
- Rainbow Dash and Applejack ran the Running of the Leaves together.
- Applejack has bit on to Dash's tail multiple times, and has also engaged in a hoof wrestle, but this may not be ship-worthy.
- AJ and Dash giggled at one point of being competitive before training for ROTL.
- AJ kind of used Dash a table of some sort in Fall Weather Friends.
I take it you should just go to the gallery for Fall Weather Friends for proof.
I will edit this later/tomorrow. Feel free to add or edit anything you like.