What is the tangent of y=2+1/x ,(2,2.5) ?

The tangent of y=2+1/x ,(2,2.5) is y=-1/4 x+3

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tangent of y=2+1/x ,(2,2.5)

tangent of

y = 2 + \frac{1}{x}, (2, 2.5)

y = - \frac{1}{4} x + 3

Solution steps

Find the slope of

y = 2 + \frac{1}{x} : \frac{d y}{d x} = - \frac{1}{x ^{2}}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = - \frac{1}{4}

Find the line with slope m=

- \frac{1}{4}

and passing through

(2, 2.5) : y = - \frac{1}{4} x + 3

y = - \frac{1}{4} x + 3

What is the tangent of y=2+1/x ,(2,2.5) ?
The tangent of y=2+1/x ,(2,2.5) is y=-1/4 x+3