Find the slope and the $y$-intercept. \[ 3 x+y-6=0 \]

Step 1 ：Given the equation in the form of \(ax + by + c = 0\), which is \(3x + y - 6 = 0\).

Step 2 ：We need to convert it into the slope-intercept form, which is \(y = mx + c\), where \(m\) is the slope and \(c\) is the y-intercept.

Step 3 ：In the given equation, \(a = 3\), \(b = 1\), and \(c = -6\).

Step 4 ：The slope \(m\) is equal to \(-a/b = -3/1 = -3\).

Step 5 ：The y-intercept \(c\) is equal to \(-c/b = 6/1 = 6\).

Step 6 ：So, the slope of the line is \(-3\) and the y-intercept is \(6\).

Step 7 ：Final Answer: \(\boxed{-3, 6}\)