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y = - 1/3 x + any number.

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Q: What equation represents a line perpendicular to the line whose equation is y equals 3x 2?
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What equation represents a line perpendicular to the line whose equation is 2x plus 3y equals 12?

Rearranging the original equation, we get y=-(2/3)x+12. Since 12 is the constant, this is the point that the line of this equation will cut the y-axis if x=0. Therefore, -(2/3) is the gradient and for an equation to produce a parallel line, the gradient must be equal. Summing up, y=-(2/3)+c (where c equals any real number) would be parallel