Interject is built from Latin parts that English can still take apart: inter, "between," plus a combining form of iacere, "to throw." To interject is literally to throw something in between. The prefix inter- is one of the standard Latin prepositions doing duty in English, alongside pre-, post-, sub-, trans- and ex-, and its presence is a fair sign that a word came from Latin rather than through the slow wear of French.
The word appeared in English in the 1570s, either as a back-formation from the older interjection or straight from the Latin past participle interiectus. Back-formation is worth noticing as a process: English often borrows the long noun first, then carves a verb out of it that Latin never had in that shape. Interrogate came into the language the same way, and so did many other -ate and -ject verbs.
interject (v.) "insert, interpolate, throw between other things," 1570s, back-formation from interjection or else from Latin interiectus , past participle of intericere "to throw between, set between," from inter "between" (see inter- ) + -icere , combining form of iacere "to throw" (reconstructed to be from PIE root *ye- "to throw, impel"). Also intransitive. Related: Interjected ; interjecting . also from 1570s
interject came in through Latin, and its spelling follows that family's conventions.
How that family writes these sounds
| a prefix you can hear on the front | pre-, post-, sub-, trans-, inter-, ex-, re-, de-, ab-, ob-predict, transmit, interject, obstruct |
What gives it away on the page
| pre-, post-, sub-, trans-, inter-, ex-, re-, de-, ab-, ob- | Latin prepositions doing duty as prefixes.predict, transmit, interject, obstruct |