Posted by **Kimberly** on Friday, March 1, 2013 at 8:13pm.

Find the slope and the equation of the tangent line to the graph of the function f at the specified point.

f(x)=-10/3x^2+6x+6; (-1, -10/3)

slope ??

tangent line y = ?

- math -
**Knights**, Friday, March 1, 2013 at 9:30pm
already answered by bobpursley

- math -
**Kimberly**, Friday, March 1, 2013 at 9:36pm
he was wrong

- math -
**Reiny**, Friday, March 1, 2013 at 9:55pm
Kimberly, as I pointed out to you in another post, it is very important to use brackets in this format to establish the correct order of operation, since we cannot "build" fractions here.

bobpursley interpreted your equation as

f(x) = 10/(3x^2 + 6 x + 6)

and his answer is correct according to that equation

the way you typed it ....

f'(x) = (-20/3)x + 6

f'(-1) = 20/3 + 6 =38/3

so the slope is 38/3

equation:

y + 10/3 = (38/3)(x+1)

times 3

3y + 10 = 38(x+1)

3y = 38x + 38 - 10

3y = 38x + 28

y = (38/3)x + 28/3

or

38x - 3y = -28

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