
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 an ellipse C: $$\frac {x^{2}}{a^{2}}$$ + $$\frac {y^{2}}{b^{2}}$$ = 1 (a > b > 0) with an eccentricity e = $$\frac {1}{2}$$, the line x + y - $$\sqrt {6}$$ = 0 is tangent to the circle x<sup>2</sup> + y<sup>2</sup> = b<sup>2</sup>.
(1) Find the equation of the ellipse;
(2) The line l passing through the point N(4, 0) intersects the ellipse at two distinct points A and B. If the midpoint perpendicular bisector of line segment AB has a y-intercept of $$\frac {4}{13}$$, find the equation of line l.

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