

Of course. Wikipedia would probably do a better job, but the idea behind it was that the smallest state by population serves as the baseline for representation within the House, which was originally intended to be based on population. At the time it was conceived, this was Wyoming.
This means that representation would be more accurately scaled to the population, so instead of rebalancing which states get larger shares of reps (CA, TX, FL, NY, etc) to accommodate the hard limit of 435, the House continues to grow to meet the demands of the populace. Under the rule, the House would grow well beyond 435 but it would mean one vote in Wyoming wouldn’t be worth roughly 68 votes in California, for example. Instead, CA would gain something like 17 reps and Wyoming would have 1.
Since the only outlined requirements for the House in the Constitution is that each state has one rep and there are not more than one rep per 30,000 citizens, this would require a repeal of the law capping the House at 435 (due to the physical constraints of the building!) and the passing of a new law to expand it. The Wyoming Rule was a proposal to do just that.


This is a really great question! You’ve already got the underlying reason down too - all the various executive departments were created to distribute the enormous administrative burden of figuring out how to enforce laws that have been passed.
Interestingly, Congress is actually in charge of creating the various departments. The President is not authorized to abolish or create new ones, or to expand their jurisdiction or invent new powers, however they are responsible for proposing leaders to each and soliciting their guidance for topics within their domain. How this currently gets enforced is part of the issue however.
Independent agencies also exist that do not explicitly fall under the authority of the President. While the President can remove heads of departments for any reason, there is a much higher bar for removal of independent agency board members.
As the office of the attorney general is one of the government’s oldest, established during the first Congress, this may be a matter of combatting tradition more than anything else! This predates independent agencies by something like 100 years.
I should also edit in a clarification that the DOJ not being an independent agency is what allows it to be more partisan than something like the FTC. Also that an independent agency does not in and of itself entirely mitigate partisan politics from its decision making.