Given the homogenous representation $(a, b, 2a)^T$ with $a, b \in \mathbb{R} \land a \neq 0$.
How can the related euclidian points $(x, y)^T$ be found?
I would expect the solution to be $(\frac{1}{2}, \frac{b}{2a})^T$ which would be a line trough $x = 1/2$. Is this correct or am I missing some details here? I am rather new to this topic.