Sloping hills pasture horses?

This may be a very ignorant question, but can horses "be" as in graze, walk up and down and stand around all day on a mostly sloped large hill? I was looking at a property with 4 1/2 acres and it's a pretty large slope. There is some flat at the top (where the house is) and at the bottom fairly lower angle, but the horses would have to wander up and down at lease an acre or two of sloped land.

Its really good for them, they get big bums ahaha.

I don't see how it would be a problem, as long as they have a bit of flat ground as well. They will definitely develop good butt muscles as ShowJumpLife said! Also, its good for drainage too... which means less muck!

Oh ok thanks guys!!! Just wasn't sure if it was bad for their joints or whatnot.

I've got 180 acres of pastures and I don't think theres 20 acres of flat ground.

It shouldnt be bad for there joints and it helps to strenghten there tendons apparntly. He only thing is if its too slopping you might not want to put horses with arthritus on it unless they have access to a flat area with food and water because it may be to hard on there legs having to walk from top to bottom all the time for food and water.

Ok cool that helps out a lot guys thanks! I just pictured Thunder and his "future buddy" slipping and sliding lol! But it's all grass. It was just an idea, we haven't even looked at the house or finished our taxes this year, so it might not even work out, but just wanted to know if it was even worth looking into.
Here's what it is like only this is just a chunk. Cool thanks for all the info guys you're always super helpful!

That looks like some pretty nice land. Snatch it up if you get the chance. I think it would be really good for them cause it would keep them in a little better shape and help work tendons and muscles just to walk around. When it comes to footing, horses are excellent self regulators. If they get uncomfortable standing one way, they will move to where it is comfortable.

Thanks SM! I think we are going to get more info on it.... it's well under value, but I think it's because it's a manufactured home instead of a stick built. But in the end, the land is more important to us and the house is liveable. Just got to see if we qualify!! Irk!!