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Find the slope of a line perpendicular to the line whose equation is 9x + 3y = 36. Fully simplify your answer.

Find the slope of a line perpendicular to the line whose equation is 9x + 3y = 36. Fully simplify your answer.

Answer

First, rewrite the equation in slope-intercept form (y = mx + b) to find the slope of the given line:

9x + 3y = 36

3y = -9x + 36

y = -3x + 12

The slope (m) of the given line is -3. The slope of a line perpendicular to this line is the negative reciprocal of -3, which is 1/3.

Answer: 1/3

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