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Find the slope of a line parallel to the line whose equation is 3, x, plus, 4, y, equals, 363x+4y=36. Fully simplify your answer

Question

Find the slope of a line parallel to the line whose equation is 3, x, plus, 4, y, equals, 363x+4y=36. Fully simplify your answer

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Solution

The slope of a line given by the equation in the form Ax + By = C is -A/B. In your case, the equation of the line is 3x + 4y = 36. So, the slope of this line is -3/4.

Since parallel lines have the same slope, the slope of the line parallel to the given line is also -3/4.

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