Find a set of parametric equations of the line that passes through the given points. $( - 4,7,13 ) , ( 1 , - 4,17 )$
A) $x = - 4 + 5 t , y = 7 - 11 t , z = 13 - 4 t$
B) $x = - 4 - 5 t , y = 7 - 11 t , z = 13 - 4 t$
C) $x = - 4 + 5 t , y = - 11 t , z = 13 + 4 t$
D) $x = - 4 + 5 t , y = 7 - 11 t , z = 4 t$
E) $x = - 4 + 5 t , y = 7 - 11 t , z = 13 + 4 t$

Question

Find a set of parametric equations of the line that passes through the given points.   $( - 4,7,13 ) , ( 1 , - 4,17 )$  
A) $x = - 4 + 5 t , y = 7 - 11 t , z = 13 - 4 t$
B) $x = - 4 - 5 t , y = 7 - 11 t , z = 13 - 4 t$
C) $x = - 4 + 5 t , y = - 11 t , z = 13 + 4 t$
D) $x = - 4 + 5 t , y = 7 - 11 t , z = 4 t$
E) $x = - 4 + 5 t , y = 7 - 11 t , z = 13 + 4 t$

Quizplus · Accepted Answer

The direction vector is found by subtracting the coordinates of the two points: $(1 - (-4), -4 - 7, 17 - 13) = (5, -11, 4)$. Using the point $(-4, 7, 13)$ and the direction vector, the parametric equations are $x = -4 + 5t$, $y = 7 - 11t$, $z = 13 + 4t$.

Find a Set of Parametric Equations of the Line That (−4,7,13),(1,−4,17)( - 4,7,13 ) , ( 1 , - 4,17 )(−4,7,13),(1,−4,17)

Find a Set of Parametric Equations of the Line That $( - 4,7,13 ) , ( 1 , - 4,17 )$