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
.