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## Homework Statement

Find the point(s) on the graph of the function at which the tangent line has the indicated slope. (If an answer does not exist, enter DNE.)

g(x) = (1/3)x^3 - (1/2)x^2 - 4x +8

mtan=-4

## Homework Equations

**3. The Attempt at a Solution**

firstly i derived g(x) to give x^2-x-4

as tangent line = -4 substituted into equation to give x^2-x-4=-4

manipulated to get x^2-x=0

that gave me x=0 or x=-1

used those values in original function to find y values

points i obtained were (0,8) and (-1,67/6)

when i enter these with lowest x value first it says i am wrong please help

firstly i derived g(x) to give x^2-x-4

as tangent line = -4 substituted into equation to give x^2-x-4=-4

manipulated to get x^2-x=0

that gave me x=0 or x=-1

used those values in original function to find y values

points i obtained were (0,8) and (-1,67/6)

when i enter these with lowest x value first it says i am wrong please help