I have been accused of cheating on an online exam because my answers were similar to those in a math website, is this sufficient proof of cheating? My professor has accused me of cheating on an online exam, which was proctored by a TA. My camera did fall a few times but I was constantly lifting it up. The class is a precalc class which I'm just retaking to get grade forgiveness for the time I took it during my first semester (serious health problems caused me to do badly my first semester). Anyway, I had gone on to retake precalc, pass, and had taken calculus and had gotten a B. So by retaking precalc, which I also took in high school, I just wanted to boost my GPA. I was not raised in the states so my basic understanding of math was not taught in the same system or approach that my professor is taking right now.
He asked to see me after class, and told me that my answers were suspicious and that he had to report me. I asked what questions seemed suspicious, and he proceeded to show me the middle of a very long question that was in the middle of the test and asked me how I got to that answer. I was taken off guard, my anxiety started peeking through, and I just kinda blacked out. I would answer the question, and be confronted with, “but how, and you’re the only student who’s answers stood out” and “its too many coincidences”. He then proceeded to tell me that the same exact steps were found on a math website. I asked which website, but was met with “you can’t even explain how you got the answers that you did”.
I am very confident in my work and offered to retake the exam, take a new one and even send my scrap pieces of paper (despite being proctored as well). I was just met with “I'm gonna report you”.
I told her that I was being honest and if I was given a chance I could prove it with another test. I just get very anxious when basically I was given very random pieces of a problem and was kept being asked in the middle of me talking as well.
I was told he wanted to talk to me first to ‘give me a chance’ but he said either way he was gonna report me.
There is literally no proof other than the fact that a website did it the same way I did. Can they say I cheated without any real proof?
There is literally no proof other than the fact that a website did it the same way I did. Can they say I cheated without any real proof?

There's more proof than a website did it the same way you did. You couldn't explain how you got the answer you wrote. Besides, &quot;real proof&quot; is a vague term. From their perspective it could very well be real proof, even if from yours it isn't.
You probably should get ready to defend yourself. See the answers in this related question.