La diapozitivo estas apud la bildo kun pikseloj.

Because Esperanto uses la for each definite noun separately.

So in La diapozitivo estas apud la bildo kun pikseloj, both diapozitivo and bildo are definite:

• la diapozitivo = the slide
• la bildo = the picture/image

Unlike English, Esperanto does not usually let one the cover multiple separate noun phrases here.

The ending -j marks the plural in Esperanto.

• pikselo = pixel
• pikseloj = pixels

This is very regular in Esperanto: nouns always end in -o, and adding -j makes them plural.

Because apud is a preposition, and the noun after a preposition normally does not take -n.

So:

• apud la bildo = next to the image

The -n ending is mainly used for a direct object, and sometimes for direction or movement. Here, the sentence is describing location, not motion, so la bildo stays without -n.

Most naturally, it describes la bildo.

So the structure is understood as:

• apud [la bildo kun pikseloj]
• next to [the image with pixels]

In other words, kun pikseloj most likely modifies bildo, not diapozitivo.

If you wanted with pixels to describe the slide instead, Esperanto would usually make that clearer by moving the phrase:

• La diapozitivo kun pikseloj estas apud la bildo.

It is grammatical, but it may sound a little unusual depending on the context.

Literally, it means with pixels. That is understandable, but in real usage a learner might also see more specific phrasing if the idea is something like:

• a pixelated image
• a digital image
• an image made of pixels

For example, depending on the intended meaning, someone might say:

• pikselita bildo = pixelated image
• bildo el pikseloj = image made of pixels

So kun pikseloj is possible, but it is not always the most idiomatic choice.

Yes, it is a valid Esperanto word, borrowed from international vocabulary.

It can refer to a slide, especially in presentation or projection contexts. As in many languages, technical or modern vocabulary in Esperanto is often built from international roots, so words like this can look familiar to English speakers.

Still, exact usage can depend on context. In computer or presentation language, people may choose different terms depending on whether they mean:

• a presentation slide
• a photographic slide
• a screen/page in a slideshow

But grammatically, diapozitivo is fine.

Yes, Esperanto word order is fairly flexible, as long as the sentence stays clear.

The neutral order here is:

• La diapozitivo estas apud la bildo kun pikseloj.

But you could also say:

• Apud la bildo kun pikseloj estas la diapozitivo.

That can sound a bit more literary or focus more on the location first.

Even though Esperanto allows flexibility, the most common beginner-friendly order is still: subject + verb + other information.

Because Esperanto normally requires an explicit verb in a full sentence.

Here:

• estas = is

So the sentence has the basic structure:

• La diapozitivo = subject
• estas = verb
• apud la bildo kun pikseloj = location phrase

Unlike in some languages, you generally cannot omit the verb to be in an ordinary statement like this.

Apud means beside, next to, or by.

It usually suggests nearness at the side of something. It does not necessarily mean touching, but it does suggest close position.

Some nearby prepositions are:

• apud = next to, beside
• ĉe = at, by, with someone/some place
• proksime de = near

So apud is a good choice when you want the idea of one thing being right beside another.

A rough pronunciation is:

lah dee-ah-poh-zee-TEE-voh ES-tahs AH-pood lah BEEL-doh koon peek-SEH-loy

A few helpful points:

• c is always like ts
• j sounds like English y
• u sounds like oo
• stress is always on the second-to-last syllable

So:

• diapozitivo → stress on ti
• bildo → stress on bil
• pikseloj → stress on se

That regular stress pattern is one of the nice things about Esperanto.

Yes. If you mean that something goes or is placed to a position next to the image, Esperanto often uses -n to show direction.

Compare:

• La diapozitivo estas apud la bildo. = The slide is next to the image.
  (location)

• Mi metas la diapozitivon apud la bildon. or more commonly Mi metas la diapozitivon apud la bildo.
  In practice, with prepositions, direction can be expressed in different ways, but learners often meet -n as a directional marker in certain constructions.

For this sentence, though, there is no movement. It simply describes where the slide is, so the basic locational form is correct.