MacBook Pro Display Has Wide Green Vertical Line Down It When Opening Laptop

I would put the money you will spend on repairs towards a new laptop. The Display Assembly will need to be replaced. You also have to consider that a battery replacement is likely needed now or at some near point in the future which is another $250 US if the battery has not been replaced before. This laptop uses the dreaded butterfly keyboard which has a known design & manufacturing flaws as does the Display Assembly cable. Plus the USB-C ports on the 2016-2017 models are also poorly designed where they become worn down so that the cables become loose & more easily detached (these ports are not expensive...about $50 for the pair, but it is a labor intensive job to replace them).

This 2017 laptop is now also considered "Vintage" by Apple, so that repairs are only able to be performed as long as the necessary parts are still available. It also means that macOS 13.x Ventura is the last officially supported version of macOS for this laptop which will stop receiving security updates near the end of 2025. While the laptop will still be usable after that point, unfortunately many third party developers may stop updating their apps at that point as well since Apple is no longer supporting the OS. For offline apps, this isn't a big deal, however, any apps which need access to online servers & resources, this means at some point the online service & Internet may change where those particular apps will no longer be able to access the online resources.

Vertical display artifacts are almost without exception problems in the display assembly. These are generally fixed by replacing the ENTIRE display assembly [Pricey].

I say this with authority because display data are maintained in display-memory as ROWS of pixels, operated on by algorithms that understand the ROWS organization, and Never have a coherent VERTICAL/COLUMNS organization anywhere until the ROWS are stacked up, one above the other, on the face of the display. There is no accidental way to damage a COLUMN inside the computer or in transit to the display.

You can likely work-around by connecting an External display, but unless you get one "all tuned up" for portable use, that sharply reduces your portability.

Consumer Reports magazine says that when the cost to repair an Appliance (like a washing machine) exceeds HALF the price of new, you should choose new. They are NOT thinking of the much more rapidly changing computer world, which should skew much more sharply toward REPLACE.

if you are not doing high-end computing like Video Editing on a daily basis, a MacBook Air (with a RAM upgrade up from the default) can run RINGS around your older model.

It sounds like the display or motherboard has failed, or possibly the graphics hardware. That has to be diagnosed at an Apple Authorized Service Center (it doesn't have to be an Apple Store; the AASC are listed on Apple's web site in the arrange for service area, and you can even make appointments on the web site).

If the parts can be found, I am guessing this sort of repair is on the order of $1000.

You can get a new Mac from Apple for about $1000 (a low end Mac, but it will be much faster and improved compared to your 2017 model).

So I don't think repair will be the right choice here.