The way Japanese say to walk is 歩く(あるく)
歩いて is the て form of 歩く
to conjugate the verb to it's te form, the く changes to an い and then て is added.
For example(例):
歩く ー> 歩いて
書く ー> 書いて
開く ー> 開いて
More on the て form.......
Depending on the ending of the verb, the rules for conjugating into the て form changes.
with ぶ ending
遊ぶ ー> 遊んで
with ぐ ending
急ぐ ー> 急いで
special exception verbs
する ー> して
来る ー> 来て
行く ー> 行って
Basically, an easy way to remember it is conjugate the verb to it's past tense and then replace あ with え。
For example (例):
dictionary form: 食べる
past tense: 食べた
て form: 食べて
The た is converted into て. (あ sound goes to an え sound)
OKAY.. so now that we got that grammar stuff out the way, lets answer your question. How do we use 歩いて in a sentence?
There are many ways to use the て form.
We can tell someone to please walk (maybe instead of running?). This is using the て form as a command or a direction/order.
おい!歩いてください。
Oi. Aruite kudasai.
Hey! Please walk.
We can use it in the て-いる form (when made polite, it turns into て-います)
This is most similar to English "ing"
It describes a state of continuous action. If 歩く means walk, then 歩いて can mean walking.
歩いている時に犬います。
aruiteiru toki ni inu imasu
When I am walking, a dog is there. (literally: walking time of, dog there)
We can use it as a way to ask if walking is okay to do.
歩いてもいい?
aruitemoii
Can I walk?
Lastly, you can string together verbs using the て form
学校の後、友達の家に歩いて行った。
Gakkou no ato, tomadachi no ie ni aruite itta.
After school, I walked to my friends house (literally: school of after, friend's house to, walk, went).
ーーーーー
1.私はスーパーへ歩いてでいきました。
2.私はスーパーへ歩いていきました。
3.私はスーパーへ歩いて。
Out of these three sentences, only number 2 makes sense. 1 would make sense if there was no で. And with # 3, you generally cant end with て unless your giving instruction or a command.
Good luck! Japanese is fun でしょう?
一生懸命勉強して!諦めないで下さい。