That is incorrect from the beginning because 9 divided by 2 is not 3. If you are putting that original equation into slope-intercept form you begin by subtracting 9x from both sides. 2y = -9x + 6. Divide both sides by 2 and you have an equation solved for y: [tex]y=- \frac{9}{2}x+3 [/tex]. That is slope-intercept form of the original equation, which is a line in standard form