
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
In the rectangular coordinate system, the parametric equations of curve $C$ are given by $ \begin{cases} x=4\cos θ \\ y=3\sin θ \end{cases}(θ \text{ is a parameter}) $.
(1) Find the rectangular coordinate equation of curve $C$;
(2) A line $l$ passing through point $M(2,2)$ intersects curve $C$ at points $A$ and $B$. If $M$ is the midpoint of segment $AB$, find the slope of line $l$.

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