Step 1: \ \

\

The Line passing through the points are is $\"\"$ and $\"\"$ .

\

The vector $\"\"$ with the representation $\"\"$ is $\"\"$ .

\

Consider $\"\"$ is parallel to the line passing through the points $\"\"$ and $\"\"$ .

\

The parametric equations of the line passing through the point $\"\"$ and parallel to the vector $\"\"$ is $\"\"$ , where $\"\"$ is a scalar.

\

Consider $\"\"$ and $\"\"$ .

\

Parametric equations are

\

$\"\"$ .

\

Parametric equations are $\"\"$ and $\"\"$ .

\

Step 2: \ \

\

Symmetric equations are $\"\"$

\

Substitute $\"\"$ and $\"\"$ in above expression.

\

$\"\"$

\

$\"\"$ and $\"\"$

\

$\"\"$ and $\"\"$

\

Solution:

\

Parametric equations are $\"\"$ and $\"\"$ .

\

Symmetric equations are $\"\"$ , $\"\"$ .