Posted by **George A.J** on Monday, January 31, 2011 at 11:22pm.

Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line.

f(x) = 7 x - 2 x^2 text( at ) \(-1,-9\)

m =

y =

- Calculus -
**Damon**, Tuesday, February 1, 2011 at 10:10am
dy/dx = 7 - 4x

at (-1,-9)

dy/dx = m = 7 - 4(-1) = 11

plug in point

-9 = 11 (-1) + b

-9 = -11 + b

b = 2

- Calculus -
**drwls**, Tuesday, February 1, 2011 at 10:12am
For the slope, calculate df/dx at x = -1.

m = df/dx = 7 - 14x = 21

y = 21x + b

-9 = -21 + b

b = 12

y = 21x +12

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