What does it mean to have a undefined slope Give 2 real world examples?

Answer 1

If a line has an undefined slope, that means it's vertical. Unlike a horizontal line, which is perfectly level and has no slope, a vertical line's slope is SO steep that it can't be measured; hence, it's undefined.

One real-world example would be a cliff. Most of the time, cliffs are not perfectly vertical, so they do have a slope. This means that, if you were to accidentally fall off a cliff (not you particularly), at some point, the cliff itself would break your fall and you might still survive, albeit with some broken bones and stuff. But some cliffs are perfectly vertical, in which case, if you fall from it, you'll keep falling until you hit the ground and, well, you probably won't like that too much.

Another example is a rope. You may have had to climb a rope in gym class when you were younger. Unless you were in really good shape, you probably had a hard time climbing to the top, noticing you had to really wrap your legs around the rope and grip tightly just so you wouldn't fall off and use a good deal of strength to pull yourself up. These ropes were hung vertically and thus have undefined slope. If they had a defined slope as opposed to an undefined slope, you haven't needed to have held on as tightly or pull as strongly to make your way up the rope. Hope that helps!