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The equation of the curve is .
Slope of the tangent line is derivative of the curve.
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Differentiate on each side with respect to .
Slope of the tangent line is .
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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.
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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
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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.
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Substitute in the curve.
Point on the curve is .
Point-slope form of the line equation is .
Substitute and
in the point slope form.
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The tangent line equations are and
.