der Slowake
Slovak
A male person who has Slovak citizenship or comes from Slovakia.
Unser neuer Nachbar ist Slowake und kommt aus Bratislava.
Our new neighbor is Slovak and comes from Bratislava.

Slovak
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Slovak
A male person who has Slovak citizenship or comes from Slovakia.
Unser neuer Nachbar ist Slowake und kommt aus Bratislava.
Our new neighbor is Slovak and comes from Bratislava.

The word 'Slowake' (Slovak) is derived from the country name 'die Slowakei' (Slovakia). The corresponding adjective is 'slowakisch' (Slovak).
Die slowakische Mannschaft hat das Spiel gewonnen.
The Slovak team won the game.
'Der Slowake' is a noun of the N-declension. This means that it takes the ending '-n' in all cases except the nominative singular.
Ich habe gestern einen Slowaken kennengelernt.
I met a Slovak yesterday.
To describe a person's origin more precisely, the preposition 'aus' (from) is used, followed by the country or city.
Er ist Slowake aus Košice.
He is a Slovak from Košice.
Czech
'der Tscheche' and 'der Slowake' both refer to a male person by origin or citizenship. The difference is the country: a 'Tscheche' comes from the Czech Republic or has Czech citizenship. A 'Slowake' comes from Slovakia or has Slovak citizenship. Learners may confuse the words because the countries are neighboring countries and used to be part of Czechoslovakia together. So the important point is: the Czech Republic and Slovakia are two different countries today.

Beim Sprachkurs sitzt ein Slowake neben mir.
A Slovak man sits next to me in the language course.
Der neue Kollege ist Tscheche und kommt aus Brünn.
The new colleague is Czech and comes from Brno.