Equation of the normal line at a point (KristaKingMath)

Learn how to find the equation of the normal line at a given point. To find the equation of the normal line, you'll need to first calculate the derivative of the function, then plug the given point into the derivative to find the slope of the tangent line. Plug the slope and the given point into the point-slope formula for the equation of the line to find the equation of the tangent line. Then take the negative reciprocal of the slope of the tangent line to find the slope of the normal line, which is the line perpendicular to the tangent line. Finally, plug the new slope and the given point into the point-slope formula for the equation of the line to find the equation of the normal line.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[hypergram.]

Thank you for being infinitely better than my teacher.

[kristakingmath]

Hope it can help others as well! Thanks for the comment. :)

[apastlife]

i really can't thank you enough.. i thought i had terrible understanding skills but turns out i just have a lousy teacher..
that's your 3rd video to save my life in 1 night ! i owe you more than my life lol
i really can't thank you enough :)
#respect

[kdominican]

I had gone on vacation and came back to class and was told to learn this whole topic on my own. I learned everything from derivatives to equation of tangent and normal line  at a point from you. It was very easy to understand. Thank you so

[ben]

you are my savior! I'm doing university calculus, with out high school calculus. and didn't even know what the question I was doing was asking for before this video.

[tyclaire]

You are the only person who makes calculus easier to understand, thank you so much !

[khachuu]

Thank you soooo much. You explain everything soo clearly and it really help me with my homework and it also help me review for midterm :)

[hady]

Best explanation ever...well, I already knew how to do it but I needed some explanation, but I'm pretty sure this will make things easier for some people

[Jaegerstarkk]

Such a clear and beautiful explanation. Thank you very much. Thumbs up for this video

[DavidCook]

Great explanation and very pleasant to watch and listen to!

[kristakingmath]

Yay! That makes me happy! I'm so glad I could help. :)

[kristakingmath]

You don't necessarily, because you already have the slope of the tangent, so you can skip that step and go directly to taking the negative reciprocal to get the slope of the normal. But I like to stay in the habit of finding the tangent because 9 times out of 10 you'll be asked to find the equations of both the tangent and the normal together. :)

[kristakingmath]

you're welcome! i'm so glad it makes sense! :D

[leeh]

wow you taught me more in 5 minutes then my math teacher did in a week.

[kristakingmath]

you're welcome! i'm glad it helped!! :D

[MarciaArleneDebra]

you explanations clarified the procedures, and helped me to understand my patterning.

[ellecook]

These videos have helped me so much! Keep up the good work Krista!

[fnwochie]

This was so wonderfully explained... Godspeed

[kristakingmath]

Awwww you're sooo sweet!! :D I'm so glad the videos are helping!! :D

[yelenayegorova]

Thank you Krista. Your videos are helpful. Fantastic job!!!