slopey shoulders 

Means the opposite of "broad shouldered" (to act strong and confident and carry alot of burden/responsility in your stride). People (usually a manager) acquire this title by dodging work and/or making decisions and generally pass the buck onto a subordinate. This is done to avoid blame or to avoid doing a task that may be boring.

Officeworker 1: Dave the manager has just given me a pile of accounts to work on thats going to be externally audited!!

Officeworker 2: But he's more qualified than you to do it! Jeez that guy has got such slopey shoulders!

slopey shoulders by The Realist! February 2, 2009

Slopey Shoulders 

Somebody with slopey shoulders is somebody who deflects responsibility or tasks.

It's a step beyond lazy where the person accused is actively trying to push work onto somebody else.

He wants her to do his work for him? Old Slopey shoulders strikes again.

Slopey Shoulders by AnotherJames March 29, 2009

sloppy shoulders

Sloppy shoulders, a person whom consistently attempts to avoid responsibility for their own actions or others they have authority over.

A person whom knows how to do a job properly, put cannot be bothered to do it probably, does half the job and does it badly.

Sloppy shoulders I’ve shown you how to do this correctly countless times

sloppy shoulders by Matthew1900 January 18, 2007

Slopey Shouldered 

when a person delegates anything given to them or slides it straight off their work load onto someone else out of utter laziness

Boss: Steve, can you print off this large batch of documents for me?

Steve: Ryan can print on his machine *walks off*

Ryan: Thanks, you slopey shouldered t**t.

Slopey Shouldered by RMR@RRC April 26, 2011