Find a set of parametric equations of the line that passes through the point $( - 2,5 , - 1 )$ and is parallel to the $x y$-plane and $y z$-plane.
A) $x = - 2 , y = 5 + t , z = - 1$
B) $x = - 2 + t , y = 5 , z = - 1 + t$
C) $x = - 2 , y = 5 t , z = - 1$
D) $x = - 2 t , y = 5 , z = - t$
E) $x = - 2 + t , y = 5 + t , z = - 1 + t$

Question

Find  a set of parametric equations of the line that passes through the point $( - 2,5 , - 1 )$ and is parallel to the $x y$-plane and $y z$-plane.
A) $x = - 2 , y = 5 + t , z = - 1$
B) $x = - 2 + t , y = 5 , z = - 1 + t$
C) $x = - 2 , y = 5 t , z = - 1$
D) $x = - 2 t , y = 5 , z = - t$
E) $x = - 2 + t , y = 5 + t , z = - 1 + t$

Quizplus · Accepted Answer

A line parallel to the $xy$-plane and $yz$-plane will only vary in the $y$-coordinate, keeping $x$ and $z$ constant.

Find a Set of Parametric Equations of the Line (−2,5,−1)( - 2,5 , - 1 )(−2,5,−1)

Find a Set of Parametric Equations of the Line $( - 2,5 , - 1 )$