Run Jenkins master and slave with Docker

That actually depends on the environment and tools you need in your build environment. For example, if you build a C project, you would need an image containing a C compiler and possibly make if you use Makefiles. If you build a Java project, you would need a JDK with a Java compiler and possibly Ant / Maven / Gradle if you use them as part of your build.

You can use the evarga/jenkins-slave as a good starting point for your build slave.

This image already contains JDK. If you simply need JDK and Maven on your build slave, you can build your Docker image with the following Dockerfile:

FROM evarga/jenkins-slaverun apt-get install maven

Using Docker images for build slaves is actually a good idea. Some of the reasons appear at Templating Jenkins Build Environments with Docker Containers:

Docker has established itself as a popular and convenient way to bootstrap isolated and reproducible environments, which enables Docker containers to be the most maintainable slave environments. Docker containers’ tooling and other configurations can be version controlled in an environment definition called a Dockerfile, and Dockerfiles allows multiple identical containers can be created quickly using this definition or for more customized off-shoots to be created by using that Dockerfile’s image as a base.

I suggest you take trying to use dynamic|ephemeral docker nodes, instead of manually creating nodes and connecting to them via ssh. Take a look at https://engineering.riotgames.com/news/putting-jenkins-docker-container, it's very powerful and I think it's one of killer usecases for Docker.