Reflecting Across y=mx with Vector Projections

I saw Dr. Peyam's video on reflecting across the line y = 2x, so I decided to jump in the ring and solve the problem with a different approach! I really like the vector math that happens in linear algebra, so this method is interesting to me.
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[@jenyaz1303]

Thank you so much dude, very straight forward and easy to remember.

[@monkeylosers3186]

As a 9th grader taking geo honors searching for a formula that can find b’ after a reflection of y=5/7x I found this video extremely understandable and not complex at all and will totally remember this when I take the regents in June

[@emilyscloset2648]

nice video. Clear explanation. You now got me thinking how easy it would be to derive it from the distance from line formula (vector or mx+c)

[@khoinguyen8391]

thank you for your clear explanation.

[@maxse6221]

This can also be found using change of basis. Which is an easier way IMO.

[@israelogunmola1113]

OMG!! You're Amazingg!!. Thank you so much sir

[@mathman1923]

Well done

[@aasimjessa6676]

Thank you so much!

[@m33l67]

Life saviour! 🙏

[@ms2756]

You should be at Harvard by now. I can see from the comments you weren't a year ago :P

[@dharmanshah1239]

Are you studying at Harvard?

[@MuPrimeMath]

No, I'm still in high school! I just have a lot of shirts from different colleges.

[@emilyscloset2648]

@@dharmanshah1239 bit personal mate. Not everyone wants to disclose everything to the internet

[@dharmanshah1239]

@@emilyscloset2648 yeah sorry for that I'll delete my message

[@NguyenSyKhangQP]

niceeeeeeeee

[@crislanarafael3866]

woah, you can write on your walls?! XD

[@MuPrimeMath]

I have a whiteboard stuck onto the wall!

[@rajandanuwar5238]

❤🎉❤