The symmetric equations of the line passing through the point ( 7 , − 1 , − 4 ) and parallel to the line 𝑥 = − 3 + 7 𝑡 , 𝑦 = 6 − 𝑡 , 𝑧 = 4 − 3 𝑡  are: Hint: The equation of the line passing through ( 𝑥 0 , 𝑦 0 , 𝑧 0 ) and parallel to the vector 𝑣 _ = ⟨ 𝑎 , 𝑏 , 𝑐 ⟩ : Parametric Form:   𝑥 = 𝑥 0 + 𝑎 𝑡 , 𝑦 = 𝑦 0 + 𝑏 𝑡 , 𝑧 = 𝑧 0 + 𝑐 𝑡 . Symmetric Form:   𝑥 − 𝑥 0 𝑎 = 𝑦 − 𝑦 0 𝑏 = 𝑧 − 𝑧 0 𝑐 .