Math/Vectors

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I need help on a homework problem. "Determine a vector equation for the line perpendicular to 4x-3y=17 and through point (-2,4). The answer in the book is given as [x,y]=[-2,4]+t[-4,3].Isn't the normal to the scalar equation [4,-3] and wouldn't this be the direction vector of the line we're looking for. I thought the answer should have been =[-2,4]+t[4,-3]. Where am I making a mistake?

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