$\"\"$

The line passes through the points $\"\"$ .

Substitute the values of $\"\"$ in the slope formula $\"\"$ .

$\"\"$ .

Because the slopes of parallel lines are same, the slope of parallel line through $\"\"$ is $\"\"$ . $\"\"$

To find the y - intercept, substitute the values of $\"\"$ in the slope - intercept from of equation $\"\"$ and solve for b.

$\"\"$

$\"\"$ .

Substitute the values of $\"\"$ in the slope - intercept form of equation $\"\"$ .

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

The option A is correct answer.