Hey,

I am having trouble seeing why the following is not a vector space.

"The set of all first-degree polynomial functions $\displaystyle ax+b$, $\displaystyle a\neq0$, whose graphs pass through the origin with the standard operations"

By #4 "$\displaystyle V$ has a zero vector0such that for everuin $\displaystyle V$, u+0=u"I am not seeing why #4 keeps the above from being a vector space. I don't think I am understanding the zero vector as I should.

Thanks