To transform the equation \(4x + y = -12\) into slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept), we will solve for \(y\).
Starting with the original equation:
\[ 4x + y = -12 \]
Subtract \(4x\) from both sides:
\[ y = -4x - 12 \]
Now the equation is in the slope-intercept form where the slope \(m\) is \(-4\) and the y-intercept \(b\) is \(-12\).
So, the correct response is:
y = -4x - 12.