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package {
import flash.display.Sprite;
import flash.events.MouseEvent;

public class ExampleApplication extends Sprite{
private var _sprite:Sprite;

public function ExampleApplication(){
_sprite = new Sprite();
addChild(_sprite);
_sprite.graphics.beginFill(0xFFFFFF);
_sprite.graphics.drawRect(0, 0, 400, 400);
_sprite.graphics.endFill();

_sprite.addEventListener(MouseEvent.MOUSE_DOWN, onMouseDown);
_sprite.addEventListener(MouseEvent.MOUSE_UP, onMouseUp);

}
private function onMouseDown(event:MouseEvent):void{
_sprite.graphics.lineStyle(1, 0, 1);
_sprite.graphics.moveTo(mouseX, mouseY);
_sprite.addEventListener(MouseEvent.MOUSE_MOVE, onMouseMove);
}
private function onMouseUp(event:MouseEvent):void{
_sprite.removeEventListener(MouseEvent.MOUSE_MOVE, onMouseMove);
}
private function onMouseMove(event:MouseEvent):void{
_sprite.graphics.lineTo(mouseX, mouseY);
}
}
}

source