1003061306

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1003061306
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Determine the relative position of the lines \( p\colon 2x-3y+7=0 \) and \[ \begin{aligned} q\colon x& =2+t, \\ y& = -3t, \end{aligned} \] where \( t\in\mathbb{R} \).
intersecting lines, \( p\cap q=\left\{\left[1;3\right]\right\} \)
identical lines, \( p=q \)
parallel different lines, \( p\parallel q;\ p\neq q \)
intersecting lines, \( p\cap q=\left\{\left[7;7\right]\right\} \)