Find a set of parametric equations of the line.
Passes through $( - 4,2,3 )$ and is parallel to the xy-plane and the yz-plane

A) $\begin{array} { l }
x = - 4 \
y = 2 \
z = 3 + t
\end{array}$
B) $\begin{array} { l }
x = - 4 + t \
y = 2 \
z = 3
\end{array}$
C) $\begin{array} { l }
x = - 4 \
y = 2 + t \
z = 3 + t
\end{array}$
D) $\begin{array} { l }
x = - 4 \
y = 2 + t \
z = 3
\end{array}$
E) $\begin{array} { l }
x = - 4 \
y = 2 \
z = 3 - t
\end{array}$

Question

Find a set of parametric equations of the line. 
Passes through $( - 4,2,3 )$ and is parallel to the xy-plane and the yz-plane

A) $\begin{array} { l } 
x = - 4 \
y = 2 \
z = 3 + t
\end{array}$ 
B) $\begin{array} { l } 
x = - 4 + t \
y = 2 \
z = 3
\end{array}$ 
C) $\begin{array} { l } 
x = - 4 \
y = 2 + t \
z = 3 + t
\end{array}$ 
D) $\begin{array} { l } 
x = - 4 \
y = 2 + t \
z = 3
\end{array}$ 
E) $\begin{array} { l } 
x = - 4 \
y = 2 \
z = 3 - t
\end{array}$

Quizplus · Accepted Answer

The line is parallel to both the xy-plane and the yz-plane, meaning it must be parallel to the y-axis. Therefore, only the y-component should change with parameter t.

Find a Set of Parametric Equations of the Line (−4,2,3)( - 4,2,3 )(−4,2,3)

Find a Set of Parametric Equations of the Line $( - 4,2,3 )$