The given line is \(3x + 6y - 8 = 0\). To find the slope, we need to convert this equation to the slope-intercept form \(y = mx + b\), where \(m\) is the slope.
First, solve for \(y\):
\[ 3x + 6y - 8 = 0 \]
\[ 6y = -3x + 8 \]
\[ y = -\frac{1}{2}x + \frac{4}{3}
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