To find the slope and the y-intercept of the equation \(9 + x = -y\), we first need to rearrange it into slope-intercept form, which is \(y = mx + b\), where \(m\) represents the slope and \(b\) represents the y-intercept.
Starting with the equation:
\[ 9 + x = -y \]
We can rearrange it to isolate \(y\):
\[ -y = x + 9 \]
Now, multiply both sides by \(-1\):
\[ y = -x - 9 \]
From this equation, we can identify:
- The slope (m) is \(-1\).
- The y-intercept (b) is \(-9\).
The y-intercept in ordered pair form is \((0, -9)\).
Thus, the slope is \(-1\) and the y-intercept is \((0, -9)\).