To write the equation \(-y = x + 1\) in gradient-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept), we can rearrange the equation.
Starting with:
\[ -y = x + 1 \]
Multiply both sides by -1:
\[ y = -x - 1 \]
Now, the equation is in gradient-intercept form:
\[ y = -1x - 1 \]
Here, the slope \(m\) is \(-1\) and the y-intercept \(b\) is \(-1\).