Final answer:
To convert the given equation into slope-intercept form, distribute the 3 to the terms in parentheses, then subtract 8 from both sides and simplify. The resulting equation is y = 3x - 5.
Step-by-step explanation:
The question provided is a mathematical equation which is currently not in slope-intercept form. Converting it, the slope-intercept form (y = mx + b) of a linear equation allows you to see the slope (m) and the y-intercept (b) directly.
Let's convert the given equation, y+8=3(x+1), into slope-intercept form:
- Distribute the 3 across (x+1) to get 3x+3.
- Subtract 8 from both sides to isolate y on one side of the equation. The resulting equation is y = 3x+3-8.
- Simplify the right side of the equation to get the final equation in slope intercept form: y = 3x - 5.
Learn more about Slope-intercept Form