9000090906

Given lines \(p\) and \(q\), find \(m\in \mathbb{R}\) such that the lines \(p\) and \(q\) are parallel. \[ \begin{aligned}p\colon x& = 1 + t, & \\y & = -3t;\ t\in \mathbb{R}, \\ \end{aligned}\qquad \begin{aligned}q\colon x& = 3 - 2u, & \\y & = 1 + mu;\ u\in \mathbb{R} \\ \end{aligned} \]