Port 8088 is the resource manager web ui port, so if it is running on master you probably won't have it on the slave.
You should be able to also go to the name node web ui on port 50070 on your name node as well to see status such as http://master:50070/ and the MapReduce JobHistory Server at http://hostname:19888/ for a web ui.
If you have access to a terminal session you run the following command on each server as root/sudo user to see which ports are listening on which server in a Linux terminal session;
sudo lsof -i tcp | grep -i LISTEN
You also also run hadoop cli commands that will give you info;
You can run the following to check hadoops ports in a terminal session.
hdfs portmap
Other Health checks on command line;
hdfs classpath
hdfs getconf -namenodes
hdfs dfsadmin -report -live
hdfs dfsadmin -report -dead
hdfs dfsadmin -printTopology
Depending on if the hadoop cli command works automatically you might have to find the executable to run ./hdfs. Also depending on distro/version you might have to replace the command hdfs with the command hadoop.
If you want to see your cluster configurations check your /etc/hadoop/conf folder along with /etc/hadoop/hive . You will find about 5-10 *-site.xml files. There configuration files contain your clusters configuration with the hostnames and ports.