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The slope of the line given is 5/2 (the term multiplying x)

The slope of a perpendicular line is -2/5 (negative reciprocal)

Therefore, the equation of the perpendicular line is given by:

y = (-2/5)x + b

We know that it goes to the point (x = 5, y =-4). Plugging these in gives b:

-4 = (-2/5)*5 + b

-4 = -2 + b

-2 = b

y = (-2/5)*x - 2

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