I dont get it. Lines can be linear or non-linear.

Not OP, but things like quadratic functions are not lines, they are curves, or more specifically, parabolas.

Layman terms have confused the actual definition of what it means to be a line with other functions. A line is specifically defined by ax+b

Isn't that only true for the Cartesian plane? Lines exist in non-euclidean geometries too.

thats not even true for Cartesian plane tho.A line is a curve that is linear.

^ that

So all lines are linear. But lines are a subset of all things that are linear. There are many other mathematical constructs that can be linear. What it means to be linear is a more abstract concept all together. But the original joke was referring to the fact that the student didn't know that all lines are linear.

I dont get it. Lines can be linear or non-linear.

ReplyDeleteNot OP, but things like quadratic functions are not lines, they are curves, or more specifically, parabolas.

DeleteLayman terms have confused the actual definition of what it means to be a line with other functions. A line is specifically defined by ax+b

DeleteIsn't that only true for the Cartesian plane? Lines exist in non-euclidean geometries too.

ReplyDeletethats not even true for Cartesian plane tho.

DeleteA line is a curve that is linear.

^ that

ReplyDeleteSo all lines are linear. But lines are a subset of all things that are linear. There are many other mathematical constructs that can be linear.

ReplyDeleteWhat it means to be linear is a more abstract concept all together.

But the original joke was referring to the fact that the student didn't know that all lines are linear.