This is an 'adverb infinitive'. It is not a participle, either present of past, because it doesn't end in -ing. And it is not an 'adjective infinitive' since its meaning is adverbial, 'you must capture or trap the other king' IN ORDER 'to win a game of chess'. Adjective has to modify a noun, which isn't the case in this sentence.
With the information given i think it’s “ to educate”, hope that helps!
Answer:
the dog is being walked by eli after eli finished his homework he walk the dog
Explanation:
it needs more parallel structer