00:01
So in this question, we were looking for a set of parametric equations for the line with the given characteristics.
00:07
So they want our line to pass through the point, negative 1, 4, negative 6.
00:17
So our line passes through negative 1, 4, negative 6, and it is supposed to be parallel to the vector v, and the vector v is 4i minus j so how do we do this well we recall that if i want the equations the parametric equations of a line that pass through that passed through the point x not why not z not parallel to a given vector, a, b, c, that the parametric equations of such a line look like, they look like, x equals x not plus at, y equals y not plus bt, and z equals z not plus ct.
01:34
So applying that formula to what we have, my parametric equations here, what are are they? well, i have x equals negative 1 plus 4 t.
01:52
And then i have y equals 4 minus t.
02:00
And then finally, i have z equals negative 6.
02:06
There is no k component to this vector...