Final answer:
To rewrite the equation 9x + 3y = -6 in slope-intercept form, we subtract 9x from both sides and then divide by 3 to solve for y. The resulting equation is y = -3x - 2.
Step-by-step explanation:
To rewrite the equation 9x + 3y = -6 in slope-intercept form, which is y = mx + b, we need to isolate y on one side of the equation. To do this, we can start by subtracting 9x from both sides:
3y = -9x - 6
Next, we divide both sides by 3 to solve for y:
y = -3x - 2
So the equation in slope-intercept form is y = -3x - 2. Here, the slope (m) is -3 and the y-intercept (b) is -2.
Learn more about slope-intercept form of an equation