The curve is .

Slope of the tangent line is derivative of the curve.

Differentiate on each side with respect to .

Quotient rule of derivatives: .

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

and .

Find the points.

Substitute in the curve.

.

Point on the curve is .

Find the tangent line equation at .

Point-slope form of the line equation : .

Substitute and in the Point-slope form.

Equation of the tangent line is .

Substitute in the curve.

.

Point on the curve is .

Find the tangent line equation at .

Point-slope form of the line equation is .

Substitute and in the  point slope form.

Equation of the tangent line is .

Tangent line equations are and  .