Ive killed more of em with a 22 LR 10/22 than anything else. We lived out in the middle of free range country in Washington. They used to hunt our dogs.
Once I learned that the barking of my dogs would be significantly different when they saw the coyotes. I would grab my 22 and run like heck to where 4 trails intersected behind my home. I would put-er up to my shoulder, stand dead still and wait. No kidding here, I would have them stop and look at me and see their facial expresions change. The last thing they did. They are not very durable. One shot and down they would go.
Also sacked them 100 yards out with a 25 shot clip. Wasn't to long, they all steered clear of my house. I then moved up to my 338 that was sighted out to 350 yards. Wasn't to long, we would never see them in day light.
They are a fairly smart animal. They will hunt domesticated animals in a pack, but never a adult humans. I guess they know what being hunted is all about.