Connect random falling object

I am not sure what you are trying to do but here is a code that creates connectors.

A couple of notes:

1. You should use Timer instead of interval.

2. You should as fewer ENTER_FRAME Event listeners as possible to improve you game performance.

The code reflects these two rules.

import flash.display.Graphics;
import flash.display.MovieClip;
import flash.events.Event;
import flash.events.TimerEvent;
import flash.utils.Timer;
var objectSpawner:Timer;
var fallers:Array;
initGame();
function initGame():void
{
          fallers = [];
          objectSpawner = new Timer(1000);
          objectSpawner.addEventListener(TimerEvent.TIMER, createEnemy);
          objectSpawner.start();
          addEventListener(Event.ENTER_FRAME, dropEnemies);
}
function createEnemy(e:TimerEvent):void
{
          var enemy:Faller = new Faller();
          enemy.y = -stage.stageHeight;
          enemy.x = Math.random() * 380;
          MovieClip(enemy).cacheAsBitmap = true;
          addChild(enemy);
          fallers.push(enemy);
          drawConnectors();
}
function dropEnemies(e:Event):void
{
          trace(fallers.length);
          for each (var mc:Faller in fallers)
          {
                    mc.y += 10;
                    if (mc.y > stage.stageHeight * 2)
                              fallers.splice(fallers.indexOf(removeChild(mc)), 1);
          }
          drawConnectors();
}
function drawConnectors():void
{
          if (fallers.length == 0)
                    return;
          var g:Graphics = this.graphics;
          g.clear();
          g.lineStyle(1);
          var mc:Faller = fallers[0];
          g.moveTo(mc.x, mc.y);
          for each (mc in fallers)
                    g.lineTo(mc.x, mc.y);
}

That should be easy, here is some code that will draw you a line, maybe add a timer to redraw the line every 1/100 of a second.

var myShape:Shape = new Shape();
myShape.graphics.lineStyle( thickness in pixels , color in hex format , alpha/transparency );
myShape.graphics.moveTo( x , y ); // x and y should be coordinates of first dot in the sequence, so (myDot.x, myDot.y)
myShape.graphics.lineTo(200, 200); // same as above, but for the second dot you want to connect
addChild ( myShape )

Do this for each set of dots, so in this case you would just do that to make 5 different lines.

Remember, you need to have a timer or something else update the position of the lines, or else they will stay put where the dots first appeared.