Find a set of parametric equations of the line.
Passes through $( 5,6,6 )$ and is parallel to the xz-plane and the yz-plane

A) $\begin{array} { l }
x = 5 + \mathrm { t } \
y = 6 \
z = 6
\end{array}$
B) $\begin{array} { l }
x = 5 \
y = 6 \
z = 6 + t
\end{array}$
C) $\begin{array} { l }
x = 5 \
y = 6 + t \
z = 6
\end{array}$
D) $\begin{array} { l }
x = 5 \
y = 6 + t \
z = 6 + t
\end{array}$
E) $\begin{array} { l }
x = 5 + t \
y = 6 + t \
z = 6
\end{array}$

Question

Find a set of parametric equations of the line. 
Passes through $( 5,6,6 )$ and is parallel to the xz-plane and the yz-plane

A) $\begin{array} { l } 
x = 5 + \mathrm { t } \
y = 6 \
z = 6
\end{array}$ 
B) $\begin{array} { l } 
x = 5 \
y = 6 \
z = 6 + t
\end{array}$ 
C) $\begin{array} { l } 
x = 5 \
y = 6 + t \
z = 6
\end{array}$ 
D) $\begin{array} { l } 
x = 5 \
y = 6 + t \
z = 6 + t
\end{array}$ 
E) $\begin{array} { l } 
x = 5 + t \
y = 6 + t \
z = 6
\end{array}$

Quizplus · Accepted Answer

A line parallel to the xz-plane and the yz-plane will only vary in the z-coordinate, keeping x and y constant. Option B correctly shows x and y as constants and z varying with parameter t.

Find a Set of Parametric Equations of the Line (5,6,6)( 5,6,6 )(5,6,6)

Find a Set of Parametric Equations of the Line $( 5,6,6 )$