Coyotes look like small wolves, except that their muzzles are smaller and more pointy than wolves', and coyotes are overall smaller and more "dainty" than wolves are. Coyotes make a lot more noise than wolves do, too. Both coyotes and wolves howl, but coyotes also yip, yap, and bark! Their howls are higher pitched and change tone more than wolves' howls do.
Coyotes live all over the place in North America. They like open, natural spaces but they can live near humans, too. They are "opportunists", a big word meaning they'll try living just about anywhere and eating just about anything. This allows coyotes to live in all sorts of places, eating all sorts of things. They are very successful. If you live in North America, you probably have at least one coyote living near you, no matter where you are!
Coyotes do not usually live in packs like wolves do: they usually live in pairs of a mother and father coyote and their offspring. However, in some places coyotes live in small packs and behave a lot like wolves do! This is an example of "opportunism", where coyotes are trying something new and it's working. Coyotes can't eat the big animals that wolves eat, though -- coyotes just aren't big enough. Usually, coyotes eat small animals like rabbits, mice and birds, but they will bring down young deer if they can catch them.
Humans and coyotes have a long history together. A lot of people who raise livestock think coyotes are pests and shoot them on sight. Coyotes do occasionally take young livestock if they are not guarded well, but usually coyotes do nice things for farmers and ranchers, like eat the rats and crows that steal crops.
We still have wild coyotes in Indiana (and a LOT of other places, too!) but wolves are extinct in all but a few states. People who can't tell the difference between a wolf and a coyote (because they've never seen them before) sometimes see coyotes in the wild and get all excited because they think they've seen a wolf! That can be bad because then people get confused about where wolves are living and how many of them there are. We try to show people what wolves and coyotes look like so no-one will get confused.