Give an example of a straight line $l$ in $\mathbb R^3$, given by a system of two equations, and a point $(a,b,c)\in \mathbb R^3$ such that there are infinitely many planes in $\mathbb R^3$ passing through $l$ and $(a,b,c)$. Justify your answer.
Straight line defined by $x−y=1,y−z=2$ and point $(1,2,3)$ (from a previous question) rather than point $(1,2,3)$ can we just give any point on the line because as long as its on the straight line there will be infinitely many planes?
Is this correct logic? its a strange question, I have never attempted one like this before so sorry if the answer is trivial.