\
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
. \ \