What is the tangent of y=(5x)/(x-3),(4,20) ?

The tangent of y=(5x)/(x-3),(4,20) is y=-15x+80

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tangent of y=(5x)/(x-3),(4,20)

tangent

y = - 15 x + 80

Solution steps

Find the slope of

y = \frac{5 x}{x - 3} : \frac{d y}{d x} = - \frac{15}{( x - 3 ) ^{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 = - 15

Find the line with slope m=

- 15

and passing through

(4, 20) : y = - 15 x + 80

y = - 15 x + 80

What is the tangent of y=(5x)/(x-3),(4,20) ?
The tangent of y=(5x)/(x-3),(4,20) is y=-15x+80