information graphics - How to bind the endpoint of a line to a rectangle/circle in Illustrator?

I am a beginner user of Illustrator and I like it a lot. I also like to make concept maps like this one:

I was wondering if there is a possibility to easily create and modify concept maps ?

The problem is that if I draw this diagram in Illustrator:

and then I move the rectangle on the left then the line stays where it is :

What I would like is that the rectangles are associated to the endpoints of the lines so that when I move the left rectangle then the line moves with it like this:

I wonder if accomplishing such a simple task with such a powerful vector drawing application as Illustrator is possible or not ? I would hope it is possible but maybe I just don't know how. Could someone please help me out with this ?

Answer

Let me answer the question itself - i.e. how to move objects together in Illustrator exactly as you ask.

Assume you have this picture, where there are 5 rectangles and 4 direct lines pointing as provided -

You want to move the grey rectangle to any other position in the way where all direct lines move simultaneously with the grey rectangle to the new position.

For this you click on Direct Direction Tool (or press A on keyboard)-

Next, you make a selection rectangle choosing the whole grey rectangle and the points of direct lines that touch the rectangle -

You should see that all points have solid color = are selected, and other points have white feel = not selected - exactly as on the picture.

Now, you locate the pointer above any part of selected objects (usually Ai will note by word "path" when you above some object in question), then you Click and start dragging to any location you want - all the objects will move as you expect them to move (in question I mean) -

or

In a similar way you can move any object as you want: you choose the nearest anchor points and you've done.