Please describe what the rule should do:
The proposed linter rule should allow limiting the casing for slot names.
For example in bigger projects it might happen that people mix camelCase and kebab-case for the names of component slots. To keep the codebase uniform it would be really helpful if a linter rule would warn or optionally even automatically fix invalid slot names according to the projects configuration.

What category should the rule belong to?

[x] Enforces code style (layout)
[ ] Warns about a potential error (problem)
[ ] Suggests an alternate way of doing something (suggestion)
[ ] Other (please specify:)

Provide 2-3 code examples that this rule should warn about:

Bad:

<template>
  <div>
    <slot name="random-Slot_name" />
  </div>
</template

Good:

<template>
  <div>
    <slot name="randomSlotName" />
  </div>
</template

Good:

<template>
  <div>
    <slot name="random-slot-name" />
  </div>
</template

Additional context
It would most likely be enough to detect invalid slot names when a slot is defined. While fixing invalid usage of slots would be nice for existing projects adapting the rule but might also blow up it's complexity.