Final answer:
To convert 3x + 18y = -144 into slope-intercept form, subtract 3x from both sides, divide every term by 18, and simplify to obtain y = -x/6 - 8, which shows a slope of -1/6 and a y-intercept of -8.
Step-by-step explanation:
The question asks to put the equation of a line, 3x + 18y = -144, into slope-intercept form and simplify all fractions. To achieve this, we should isolate y on one side of the equation. Here's the step-by-step process:
- Start with the original equation: 3x + 18y = -144.
- Subtract 3x from both sides of the equation to get 18y = -3x - 144.
- Divide every term by 18 to isolate y, resulting in y = -3x/18 - 144/18.
- Simplify the fractions to get y = -x/6 - 8.
This is the slope-intercept form of the equation, y = mx + b, where the slope (m) is -1/6 and the y-intercept (b) is -8.