Find parametric equations for the line that passes through the points P and Q. (Enter your answers as a comma-separated list. Let x, y, and z be in terms of t.)

Question

Find parametric equations for the line that passes through the points P and Q. (Enter your answers as a comma-separated list. Let x, y, and z be in terms of t.)

P(2, −1, 3),    Q(4, 0, −1)

Answer 1

Direction vector PQ = <4 - 2,0 + 1, -1 - 3) = <2, 1, - 4).

Symmetric equation of line: (x - 4/2 = y/1 = (z + 1)/(- 4) = t;

So, x = 2t + 4; y = t, z = - 4t - 1