First, find the slope of the given line by rewriting the equation in slope-intercept form (y = mx + b).
Start with the equation: 3x - 6y = -72.
Solve for y:
The slope (m) of the given line is 1/2.
The slope of a line perpendicular to this line is the negative reciprocal of 1/2, which is -2.
Answer: -2
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