Find parametric equations for the line described below.
-The line through the points $P ( - 1 , - 1 , - 4 )$ and $Q ( 4,6,4 )$
A) $x = t - 5 , y = t - 7 , z = - 4 t - 8$
B) $x = 5 t + 1 , y = 7 t + 1 , z = 8 t + 4$
C) $x = 5 t - 1 , y = 7 t - 1 , z = 8 t - 4$

Question

Quizplus · Accepted Answer

The direction vector of the line is found by subtracting the coordinates of $P$ from $Q$, giving $(5, 7, 8)$. Using point $P$ and the direction vector, the parametric equations are $x = 5t - 1$, $y = 7t - 1$, $z = 8t - 4$.

Find Parametric Equations for the Line Described Below P(−1,−1,−4)P ( - 1 , - 1 , - 4 )P(−1,−1,−4)

Find Parametric Equations for the Line Described Below $P ( - 1 , - 1 , - 4 )$