
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 the parameterized equation of curve $C\_1$ in the rectangular coordinate system is $ \begin{cases} x= \frac { \sqrt {5}}{5}t \\ y= \frac {2 \sqrt {5}}{5}t-1 \end{cases} (t $ is the parameter), and curve $C\_2$: $ρ=2\cos θ-4\sin θ$.

1. Convert the equation of $C\_1$ into a standard form and find the rectangular coordinate equation of $C\_2$.
2. Find the distance between the two intersection points of curves $C\_1$ and $C\_2$.

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