I'm not sure whether the definition of a parametric normal line I found online is right. I'm trying to answer problem 41. I'll use their formula. The gradient at the point (-3,4) is <-6,8>, so the equation of the normal line has $ x(t)=-3+-6t$ and $ y(t)=4+8t$ . Side question: how do I convert this parametric equation to cartesian equation/coordinates?
Have a successfully found a parametric equation for the line that is perpendicular to the graph of the given equation at the given point?
We can treat the circle as a level curve and we know that the gradient is always perpendicular to the level curves.