The equation is
.
Apply derivative on each side with respect to
.




.
The slope of the normal line is perpendicular to the slope of the tangent line.
\Slope of tangent line
Slope of normal line is equal to
.
Then Slope of the normal line
\
.
The slope of the normal line is
.
Point - Slope form of line equation is
.
Consider the point
then line equation is
.
.

.

When the linear equation is
passes through the origin then the value of
.
The equation passing through origin is
.
The normal line of the equation
is passes through the origin at any point.