9000090909

Given lines \(p\) and \(q\), find \(m\in \mathbb{R}\) such that the lines \(p\) and \(q\) are parallel. \[ p\colon 2x+my-3 = 0,\qquad \begin{aligned}[t] q\colon x& = 1 + t, & \\y & = 2 - t;\ t\in \mathbb{R} \\ \end{aligned} \]