Watch the Mucho Flamenco online guitar lesson by Brad Carlton from Chord Studies: Open String Chords Vol. 2
This is a flamenco or Spanish-style progression. The first chord is an Esus4add♭9, and your second finger is gonna act as a pivot when move to the standard E chord. Practice the move between these first two chords to get it clean. Let the top two strings keep ringing as you grab the Dm6/9 but make sure you mute the low E -try using the unused ring finger to facilitate this.