Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩

Question

 Give a vector parametric equation for the line through the point  that is parallel to the line 

Answer 1

<x, y, z> = <t(-3, -4, -5) + (-2, -4, 0)>

So, x = -3t - 2, y = -4t - 4, z = -5t