Step-by-step explanation:
To find the slope-intercept form of the equation \(x - y = 9\), we need to solve it for \(y\):
\[ x - y = 9 \]
Subtract \(x\) from both sides:
\[ -y = -x + 9 \]
Now, divide both sides by \(-1\) to isolate \(y\):
\[ y = x - 9 \]
Now, we have the equation in slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
So, the slope of the equation \(x - y = 9\) is \(m = 1\), and the y-intercept is \(b = -9\).