Find equation of normal line to parabola y= x^2 - 5x +4 that is parallel to line x-3y =5

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I solved it and it was so easy once I set the derivative equal to minus one. The negative reciprocal of one is negative one, silly me, not plain one. Ha!

HellenofTroy
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The question is asking for the normal to be parallel to x-3y=5 meaning same gradient, but u are giving it's reciprocal? Am confused..

HellenofTroy