The lack of parentheses makes it impossible for me to say if x is in the numerator or the denominator.
If x is in the numerator y =(15 x/4) the problem is trivial The slope is 15/4 for all x.
If you really mean y = 15 /(4x) than
dy/dx = -15 /(16x^2)
which for x = 1 is
slope = -15/16
Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line.
f(x) = 15/4 x at (1,15/4)
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