"Hey, Saya. How do you say, 'Sidewalk', in Japanese? Yokomichi?"
"Mmm. Chigau. Hodou."
"Hodou?"
"Hai. Hodou."
"Ahh. Naruhodou."
"Kill yourself.."
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Yokomichi is another way of saying pathway. Hodou is a more direct translation for sidewalk. Naruhodou is similar to saying, 'I see.', or, 'I understand.'
I read it in a light novel. Maybe Bungaku Shoujo. No idea. That has an anime adaptation. So therefore it's an anime joke? I love algebra.