The function is and parallel line equation is
.
Definition of slope of the tangent line : .
Slope of the tangent line is .
Parallel line equation is .
Find the slope of the parallel line .
Slope of the line is
.
Slope of the parallel line is .
The line is parallel to the tangent line then their slopes are equal.
\Equate the slope of the tangent line to .
Substitute in the function
.
The point on the curve is .
Find the equation of the tangent line.
\Point-slope of line equation : .
Substitute and point
in the point slope form.
Equation of tangent line is .
Equation of tangent line is .