Find the equation

finding the slope of the tangent by differentiating the curve

m(tangent) =

normal is perpendicular to tangent so, m₁m₂ = – 1

m(normal) =

equation of normal is given by y – y₁ = m(normal)(x – x₁)

now comparing the slope of normal with the given equation

m(normal) = 1

since this point lies on the curve, we can find y by substituting x

The equation of normal is given by