To rewrite the equation \( 14x + y = -7 \) in slope-intercept form, which is \( y = mx + b \) (where \( m \) is the slope and \( b \) is the y-intercept), you need to isolate \( y \).
Starting with the original equation:
\[ 14x + y = -7 \]
Subtract \( 14x \) from both sides:
\[ y = -14x - 7 \]
Now the equation is in slope-intercept form:
\[ y = -14x - 7 \]
Here, the slope \( m \) is \(-14\) and the y-intercept \( b \) is \(-7\).