Difference between English and Korean language in Korean
영어·한국말

영어English
영어 means English, the language used in countries like the United States and the UK. In school, you can use this word when you talk about English class, homework, books, or speaking English. You can also use it to say that something is in English.

한국말Korean language
한국말 means the Korean language. You use it when talking about speaking, learning, hearing, or using Korean at school and in daily life. It is a common, easy word for the language people speak in Korea.
The difference
영어 means the English language, not Korean. At school, you can study both 영어 and Korean, but they are different languages.