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To answer this question we need to first get the slope of the line 5x-4y=9 by rearranging it in the form of y=mx+b:

5x-4y=9

4y=5x-9

y=(5/4)x-9/4

Since the slope of parallel lines are negative reciprocals of each other, the negative reciprocal of 5/4 is -4/5, therefore the slope of a line parallel to the line 5x-4y=9 is -4/5

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14y ago

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