
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
Solve the exercise number 403 from the current issue using coordinate geometry. The equation of the line \( e \) is

\[ 
y = \frac{1}{2} x + 9
\]

The coordinates of points \( A \) and \( B \) are \((-2,3)\) and \((5,4)\) respectively, and \( d = 4 \sqrt{5} \).

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