\(H(\omega)=\frac{4(5 + j\omega)}{1 + j\frac{\omega}{50}}\)

My first problem is identifying what exactly the Bode plot will be plotting with regards to each axis; I can say that you will be plotting the log gain by log \(\omega\), but I can't really identify what those are with what I am given. However, I still tried to get somewhere, and what I came up with were these few steps:

factor out the five in the numerator to give us

\(H(\omega)=20\frac{(1 + j\frac{\omega}{5})}{1 + j\frac{\omega}{50}}\)

I did this because after looking at other example work, doing something along these lines would get it in a more general form, but I don't really have a good reason as to doing that other than other examples looked similar to that, and thats a fairly weak basis to go off.

I wish I could post a little more about what I know to help others help me, but I'm not sure what else to say at the moment. But, I do know that I don't know how to find the values that need plotting, so hopefully that is a fine starting point. Thanks in advance to anyone who can help!

P.S.- If I have multiple questions, but they aren't related, is it better to make multiple threads or just put them into one place?