Final answer:
To write the equation in slope-intercept form, distribute the given value, isolate y, and simplify the equation.
Step-by-step explanation:
The given equation is y + 6 = -3/4(c + 8). To write it in slope-intercept form, we need to isolate y on one side of the equation. First, distribute the -3/4 to the terms inside the parentheses: y + 6 = -3/4c - 3/4(8). Simplifying further, we have: y + 6 = -3/4c - 6. Next, subtract 6 from both sides: y = -3/4c - 6 - 6. Simplifying again, we get: y = -3/4c - 12. Therefore, the equation in slope-intercept form is y = -3/4c - 12.
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