I'm studying linear algebra. I've understood that a line that passes throught the origin is a 1-dimensional object since i can describe it with only a vector and a real variable.
But, why also a line that doesn't pass throught the origin is a 1 dimensional object ?
Recall that by definition the dimension of an affine space is equal to the dimension of the vector space of its translations, therefore also a line that doesn't pass throught the origin is defined as $1$ dimensional object.