Take a look at the sentence again:
At the back of the classroom, Nina sat with her arms crossed, glaring at
her teacher, Mr. Beane, her body language
indicated that English was her least favorite subject.
For a sentence to be fused, you must have two complete sentences run together with no punctuation. In the example above, a comma joins the two sentences. Nina sat with her arms crossed ... begins one sentence. Her body language indicated ... starts the second sentence. Thus, this error is a comma splice.
Remember that both comma splices and fused sentences are major errors. They make your reader think that you cannot write a correct sentence. Because the sentence is the most basic building block of a piece of writing, comma splices and fused sentences make you look like an amateur!
To fix the problem above, you could put a period after Beane and begin her with a capital H.