Final answer:
The equation 9x + 12y = -108 is converted to slope-intercept form by isolating y, which results in the equation y = (-3/4)x - 9. This form reveals a slope of -3/4 and a y-intercept of -9.
Step-by-step explanation:
To convert the equation 9x + 12y = -108 into slope-intercept form (y = mx + b), you need to solve the equation for y in terms of x. Here are the steps:
Start with the original equation: 9x + 12y = -108.
Isolate the y-term by subtracting 9x from both sides: 12y = -9x - 108.
Divide all terms by 12 to solve for y: y = (-9x/12) - (108/12).
Simplify the fractions: y = (-3/4)x - 9.
This provides you with the slope-intercept form, where the slope (m) is -3/4 and the y-intercept (b) is -9.