What is the constant of variation for the equation variation 6y equals 9x2?

To find the constant of variation for the equation ( 6y = 9x^2 ), we can rewrite it in the form ( y = kx^2 ), where ( k ) is the constant of variation. Dividing both sides by 6 gives ( y = \frac{9}{6}x^2 ), which simplifies to ( y = \frac{3}{2}x^2 ). Therefore, the constant of variation ( k ) is ( \frac{3}{2} ).