This is what your installation will likely look like. The blue line is the trap water level. The upward slope of your trap arm will retain water and will be part of your water trap. If the dimensions of your slopes per foot are like 1/4" or 3/8", and it has been this way for 10-20 years, you likely won't have any problems unless you use the corrugated line as a P-trap.
That was helpful. I want to thank you and everyone else who commented on this thread. I got the dishwasher installed a few hours before my sister arrived for a 5-day vacation visit, and she and I were very thankful to not have a big dishwasher in the middle of the kitchen. If any homeowners reading this have not yet contributed monetarily to this forum, I encourage you to do so out of fairness to the forum and the plumbers who provide advice.
The only thing remaining is that I've had to order a special part to stabilize the dishwasher because my counter is granite (so the brackets can't be screwed into it) and the cabinets are recessed and the dishwasher sides don't have any holes or punchouts for screwing into recessed cabinets, so I ordered this part that attaches to my cabinets and runs across the top of the dishwasher, then the brackets are attached vertically to the new part. Have you or anyone else used this kind of part before and if yes, is there any advice for using it: https://www.amazon.com/dp/B097BTWGFQ?psc=1&ref=ppx_yo2ov_dt_b_product_details