Rewrite the given equation so that y is a function of x.
Take the first derivative of the function and evaluate at x = 4 giving you the slope of the tangent line at (4,1)
Use the negative reciprocal of the slope of the tangent line and the point (4,1) in the Point-Slope form to write an equation for the line normal to the given curve at the given point. You cannot write the equation for a line because there is a myriad of forms for the equation of any given line.
John
My calculator said it, I believe it, that settles it