Step 1:

The points are $\"\"$ .

Find the line segment $\"\"$ .

Using two points form of a line equation is $\"\"$ .

The points $\"\"$ form of a line equation is

$\"\"$

The slope of the line $\"\"$ is $\"\"$ .

$\"\"$

The line equation of $\"\"$ is $\"\"$ .

Step 2:

Find the equation of line through the point $\"\"$ and parallel to the line segment $\"\"$ .

Using point - slope form of a line equation is $\"\"$ .

Substitute $\"\"$ and $\"\"$ in the point - slope form.

$\"\"$

The equation of line through the point $\"\"$ and parallel to the line segment $\"\"$ is $\"\"$ .

Step 3:

Graph :

(1) Draw the coordinate axis.

(2) Plot the points $\"\"$ .

(3) Draw the line segment of $\"\"$ .

(4) Draw the line through the point $\"\"$ .

$\"\"$

Solution :

The equation of line through the point $\"\"$ and parallel to the line segment $\"\"$ is $\"\"$ .