\
The equation of the curve is .
Equation of the tangent line at point is
.
The point lies on the both tangent line and curve. \ \
Substitute in the tangent line equation. \ \
. \ \
. \ \
\ \
\Slope of the tangent line to the curve at
is
. \ \
Here slope of the line is . \ \
Slope intercept form of the equation is .
Where is slope of the line,
is
- intercept.
Compare the tangent line with
. \ \
Slope of the tangent line at
is
. \ \
. \ \
\
and
. \ \