Rebooting replicated Master / Slave (no replies)

Hello,

OS Debian 7
Mysql 5.5 replicated Master/Slave

I have updated the kernel on the master and slave and wish to beboot both servers.

Can someone advise on the proper proceedure?

I thought this may be correct:

On mysql slave:
STOP SLAVE;
FLUSH TABLES;

From OS on slave:
/etc/init.d/mysql stop

I would reboot both servers at this point and then after the system has booted:

On mysql slave (the mysql daemon is configured to start on boot):

START SLAVE;


But I have heard that it may not work post Mysql 5.1.


Looking for advise.
Thank you
Rick