
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that point $M$ is any point on the curve $y= \frac {1}{3}x^{3}-2x^{2}+3x+1$, and the tangent line at $M$ is $l$, find:  
$(1)$ The equation of the tangent line with the minimum slope;  
$(2)$ The range of values for the inclination angle $\alpha$ of the tangent line $l$.

Present the answer in LaTex format: \boxed{Your answer}
user