document.write( "Question 1161791: Find the equation of a line normal to the curve x^2=16y at (4,1). \n" ); document.write( "
Algebra.Com's Answer #785402 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Rewrite the given equation so that y is a function of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take the first derivative of the function and evaluate at x = 4 giving you the slope of the tangent line at (4,1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "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. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " ![]() \n" ); document.write( " |