ok so say a line ran thru 4 on the x axis and had a slope of 2... could you write that as a vector??
and as for
"The reason for this origin only business is because vectors only have a length and a direction, so they can be moved all over the plane, or in space"
that would be a vector in the subspace... correct?
Yeah we're in a vector space here
Um, idk about your intercept slope question in like a matrix form
Let's say we're on the plane, then via calc 3 and vector based functions we can go with
But in a column vector I don't think you can, or it isn't standard at least