Final answer:
To put 3x + 6y = -30 into slope-intercept form, isolate y, divide by 6, and simplify to get y = -0.5x - 5, where the slope is -0.5 and the y-intercept is -5.
Step-by-step explanation:
To convert the equation 3x + 6y = -30 into slope-intercept form, which is y = mx + b, follow these steps:
- Isolate the y-term on one side of the equation by subtracting 3x from both sides: 6y = -3x - 30.
- Divide each term by the coefficient of y, which is 6, to solve for y: y = (-3x/6) - (30/6).
- Simplify the fractions: y = -0.5x - 5.
This is the slope-intercept form of the equation where the slope (m) is -0.5 and the y-intercept (b) is -5. In slope-intercept form, the slope represents the rise over run, and the y-intercept represents the point where the line crosses the y-axis.