To convert the equation (-3y - 3x - 9 = 0) into slope-intercept form (y = mx + b), start by isolating (y). Rearranging gives (3y = -3x - 9), and then dividing the entire equation by 3 results in (y = -x - 3). Here, the slope (m) is -1 and the y-intercept (b) is -3.
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