The function is
and the equation of parallel line is
.
The slope of the tangent line is the derivative of the function.
\
Apply derivative on each side with respect to
.

Quotient rule of derivatives :
.


Slope of the tangent line is
.
The parallel line is
.
Rewrite the line equation.
\
Compare the above line with slope - intercept form of a line equation :
.
Slope of the parallel line is
.
Slope of the parallel lines are equal.
\Hence slope of the tangent line parallel to the line
is
.
Substitute
in slope of the tangent line
.

and 
and
.
Substitute
in the function.

Point of tangency is
.
Substitute
in the function.

Point of tangency is
.
Find the tangent line equation at point
.
Point-slope form of line equation :
.
Substitute
and
in point-slope form.

Equation of the tangent line at the point
is
.
Find the tangent line equation at point
.
Point-slope form of line equation :
.
Substitute
and
in point-slope form.

Equation of the tangent line at the point
is
.
Equation of the tangent lines are
and
.