To convert the equation from standard form \(Ax + By = C\) to slope-intercept form \(y = mx + b\), you'll want to solve for \(y\).
Starting with your equation:
\[ x + y = 8 \]
Subtract \(x\) from both sides to isolate \(y\):
\[ y = -x + 8 \]
Now the equation is in slope-intercept form, where the slope \(m\) is \(-1\) and the y-intercept \(b\) is \(8\).
So, the slope-intercept form of the equation is:
\[ y = -x + 8 \]