Solution
= Solution
\b[No.] For every $m\in\mathbb R$, the line $y=mx$ contains the origin. These lines are distinct, so the uncountable family
$$
\{y=mx:m\in\mathbb R\}
$$
has nonempty common intersection.
= Solution
\b[No.] For every $m\in\mathbb R$, the line $y=mx$ contains the origin. These lines are distinct, so the uncountable family
$$
\{y=mx:m\in\mathbb R\}
$$
has nonempty common intersection.