What is the tangent of y=(x+1)/(5-x),(7,-4) ?

The tangent of y=(x+1)/(5-x),(7,-4) is y= 3/2 x-29/2

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tangent of y=(x+1)/(5-x),(7,-4)

tangent of

y = \frac{x + 1}{5 - x}, (7, - 4)

y = \frac{3}{2} x - \frac{29}{2}

Solution steps

Find the slope of

y = \frac{x + 1}{5 - x} : \frac{d y}{d x} = \frac{6}{( 5 - 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{3}{2}

Find the line with slope m=

\frac{3}{2}

and passing through

(7, - 4) : y = \frac{3}{2} x - \frac{29}{2}

y = \frac{3}{2} x - \frac{29}{2}

What is the tangent of y=(x+1)/(5-x),(7,-4) ?
The tangent of y=(x+1)/(5-x),(7,-4) is y= 3/2 x-29/2