\
The equation of the curve is
.
Slope of the tangent line is derivative of the curve.
\
Differentiate on each side with respect to
.


Slope of the tangent line is
.
\
Slope-intercept form of line equation is
, where
is the slope of the line.
The parallel line equation is
.
Write down the equation in slope intercept form.
\
Comparing line equation
with
Slope of the parallel line is
.
Since the slopes of the parallel line are equal, the slope of the tangent line is
. \ \
Equate the value of the slope to
.

and 
\
Find the points.
\Substitute
in the curve.

Point on the curve is
.
Point-slope form of the line equation is
.
Substitute
and
in the point slope form.

\
Substitute
in the curve.

Point on the curve is
.
Point-slope form of the line equation is
.
Substitute
and
in the point slope form.

\
The tangent line equations are
and
.