The equation is .
Apply derivative on each side with respect to .
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The slope of the normal line is perpendicular to the slope of the tangent line.
\Slope of tangent lineSlope 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
.
.
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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.