I have not had experience with planting on a slope; at home, I have a small container garden that I am taking care of. I think having it on a slope is rather nice; depending on soil structure (if in USA,
Web Soil Survey has a lot of info), it might prevent plants from getting too much
water. If you are in the Northern Hemisphere, then a south facing slope is a great choice because it will get a lot of sun!
SunCalc can show you the positions of the Sun throughout the day at anytime in the year for many locations, and a
simple solar angle device can be used to find the angles the sun makes with the ground. There might be some leaching of nutrients- once again, dependent on soil structure: the three base particles in soils are sand, silt, and clay (in decreasing size). Sand is does not retain a lot of nutrients or water, where clay is the exact opposite that it can cling to nutrients strongly
enough as to make the unaccessible; then, silt is the monkey in the middle. Overall, I think everything will be fine, and I think your best advice will probably come from nature and observing what lives around.