so at (4,1/2) the tangent line is y - 1/2 = -1/16 (x-4) rearrange that to the desired form. See the graphs at www.wolframalpha.com/input?i=plot+y%3D1%2F%E2%88%9Ax%2C+y+%3D+-1%2F16+%28x-4%29+%2B+1%2F2
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