To transform the equation \(4x + y = -12\) to slope-intercept form (\(y = mx + b\)), we need to solve for \(y\).
Starting with the equation: \[ 4x + y = -12 \]
Subtract \(4x\) from both sides: \[ y = -4x - 12 \]
Now, we have the equation in slope-intercept form:
\[ y = -4x - 12 \]
So the correct response is: \[ y = -4x - 12 \]