Find parametric equations for the line described below.
-The line through the points P(-1, -1, -2) and Q(-5, -4, )
A) x = t - 4, y = t - 3, z = -2t + 3
B) x = -4t + 1, y = -3t + 1, z = 3t + 2
C) x = -4t - 1, y = -3t - 1, z = 3t - 2
D) x = t + 4, y = t + 3, z = -2t - 3

Question

Quizplus · Accepted Answer

The direction vector from P to Q is (-5 - (-1), -4 - (-1), 0 - (-2)) = (-4, -3, 2). Using point P(-1, -1, -2) and the direction vector, the parametric equations are x = -1 - 4t, y = -1 - 3t, z = -2 + 2t, which matches choice C.

Find Parametric Equations for the Line Described Below