What is the tangent of y=-3/2 x^2+9x+9,(-1,-3/2) ?

The tangent of y=-3/2 x^2+9x+9,(-1,-3/2) is y=12x+21/2

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tangent of y=-3/2 x^2+9x+9,(-1,-3/2)

tangent of

y = - \frac{3}{2} x^{2} + 9 x + 9, (- 1, - \frac{3}{2})

y = 12 x + \frac{21}{2}

Solution steps

Find the slope of

y = - \frac{3}{2} x^{2} + 9 x + 9 : \frac{d y}{d x} = - 3 x + 9

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 = 12

Find the line with slope m=

12

and passing through

(- 1, - \frac{3}{2}) : y = 12 x + \frac{21}{2}

y = 12 x + \frac{21}{2}

What is the tangent of y=-3/2 x^2+9x+9,(-1,-3/2) ?
The tangent of y=-3/2 x^2+9x+9,(-1,-3/2) is y=12x+21/2