Answer
True
Work Step by Step
The equation of a line passing through the origin of $R^2$ can be written as: $y=mx+b$. For y-intercept , that is $b=0$, tven our equation becomes: $y=mx$
When $b \ne 0$, then the equation of a line does not pass through the origin of $R^2$. This means that the line would not contain the zero vector and cannot have a subspace of $R^2$.
Therefore, the given statement is True.
