Giải thích các bước giải:
\(\begin{array}{l}
\overrightarrow {{n_d}} = \left( { - 5;3} \right) \Rightarrow \overrightarrow {{u_\Delta }} = \left( { - 5;3} \right);\overrightarrow {{n_\Delta }} = \left( {3;5} \right)\\
PTTS:\dfrac{{x - 2}}{{ - 5}} = \dfrac{{y + 12}}{3}\\
PTTQ:3\left( {x - 2} \right) + 5\left( {y + 12} \right) = 0 \Leftrightarrow 3x + 5y + 54 = 0\\
d)\overrightarrow {{u_d}} = \left( { - 2;5} \right) \Rightarrow \overrightarrow {{n_\Delta }} = \left( { - 2;5} \right),\overrightarrow {{u_\Delta }} = \left( {5;2} \right)\\
PTTS:\dfrac{{x - 4}}{5} = \dfrac{{y + 1}}{2}\\
PTTQ: - 2\left( {x - 4} \right) + 5\left( {y + 1} \right) = 0\\
\Leftrightarrow - 2x + 5y + 13 = 0
\end{array}\)