
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
Find the point of intersection of a line and a plane.

$$
\begin{aligned}
& \frac{x-1}{7}=\frac{y-2}{1}=\frac{z-6}{-1} \\
& 4 x+y-6 z-5=0
\end{aligned}
$$

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