
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 point A(4,6) and point B(-2,4), find:
(1) The equation of line l that passes through point A and has equal intercepts on the x-axis and y-axis;
(2) The equation of the circle with diameter AB.

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