Finite Verb

A finite verb is a verb that is inflected for person and for tense according to the rules and categories of the languages in which it occurs. Finite verbs can form independent clases, which can stand on their own as complete sentences.

 Example of finite verb:
 I cook, she reads, Anto went

—  Dina has eaten when Ria come in, By itself, the verb form eaten is called a non-finite verb When the auxiliary has and the non-finite verb eaten are put together, they make up a finite verb form has eaten.

—  Tamara was walking. Walking is non-finite and was is to be. When they are put together, they make up finite form was walking 

 Definition of non-finite verb:

a non-finite verb (or a verbal) is a verb form that is not limited by a subject and, more generally, is not fully inflected by categories that are marked inflectionally in language, such as tense, aspect, mood, number, gender, and person. As a result, a non-finite verb cannot serve as a predicate and can be used in an independent clause only when combined with an auxiliary verb (e.g., "He can write" but not "He to write"). Rather, it can be said to be the head of a non-finite clause. As such, a non-finite verb is the direct opposite of a finite verb

There are three kinds of non-finite verbs:
The infinitive
Examples are: to learn, to write, to work, to break, to speak etc.
The participle
Examples are: learning, learned, writing, written, working, worked, breaking, broken, speaking, spoken etc.
The gerund or verbal noun
Examples are: learning, writing, working, running, speaking etc.