Question

How would you describe the rate of change if you had a vertical line?

Answer 1

Ah, undefined?

Answer 2

Either that or infinite.

Answer 3

Take two points on a vertical line and use them in the avg. rate of change formula. You'll find that you'll end up with a 0 in the denominator, and therefore your rate of change is undefined. Most teachers will accept that as an answer and a proof.

Answer 4

undefined

Answer 5

rate of change is also know as slope, and slope is delta y/delta x.

since x is 0, its undefined.