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Norma-Jean [14]
3 years ago
8

Find the slope of the tangent line to the graph of -2y + 8x^2 = -7x + 9y^2 - 29 at (2,-3)

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Take the derivative of all terms with respect to x:

-2(dy/dx) + 16x = -7 + 18y(dy/dx).  Grouping the (dy/dx) terms on the left, we get:

(dy/dx)(-2 - 18y) = -7 - 16x, or

                 -7 - 16x

dy/dx = ------------------

                -2(1 + 18y)

Substituting 2 for x and -3 for y, we obtain the desired derivative:

                 -7 - 16x          -7 - 32           -39

dy/dx = ------------------ = --------------- = ----------- = -0.368

                -2(1 + 18y)       -2(1 - 54)        106

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Step-by-step explanation:

Given the data points :

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Using the online regression calculator :

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Where

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