The equation of the ellipse is $\"\"$ and the point $\"\"$ .

Slope of the tangent is derivative of the function at a particular point.

Find the derivative of the curve.

Consider $\"\"$ .

Differentiate on each side with respect to $\"\"$ .

$\"\"$

Slope of the tangent line at $\"\"$ is $\"\"$ .

Tangent line equation at $\"\"$ :

Point-slope form of line equation: $\"\"$ .

Substitute $\"\"$ and $\"\"$ in point-slope formula.

$\"\"$

Divide each side by $\"\"$ .

$\"\"$

The point $\"\"$ is on the ellipse , So it satisfies the curve equation.

Therefore, $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$ .

Equation of a tangent line is $\"\"$ .

Equation of a tangent line to the $\"\"$ at $\"\"$ is $\"\"$ .