Find the line perpendicular to a line through a given point

👉 Learn how to write the equation of a line that is perpendicular to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can write the equation of a line: the point-slope form, the slope-intercept form, the standard form, etc.
When given a point (x, y) through which a line passes and the slope (m) of the line, the equation of the line is given by y - y1 = m(x - x1). For perpendicular lines, the product of their slopes is -1. Thus given the equation of a line and a point through which the line perpendicular to the given line passes, then the slope of the second line is equal to the negative of the reciprocal of the slope of the given line. Having found the slope, we can then use the formula stated above together with the given point to find the required equation.
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Organized Videos:
✅Write Linear Equations
• Write Linear Equations
✅Write Linear Equations | Learn About
• Write Linear Equations...
✅Write the Equation of a Line Given Point and Slope
• Write the Equation of ...
✅Standard Form to Slope Intercept Form
• Standard Form to Slope...
✅Write Linear Equation From Graph
• Write Linear Equation ...
✅Write Linear Equastion From Two Points
• Write Linear Equastion...
✅Write the Equation of a Parallel Line
• Write the Equation of ...
✅Write the Equation of a Perpendicular Line
• Write the Equation of ...
✅how to know if the equation is linear or nonlinear
• how to know if the equ...
✅Translating Linear Equations
• Translating Linear Equ...
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvi...
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[@Iemons]

This video was released 7 years ago and It's still helping us in 2019.
Thank you so much for uploading.

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You must be a 10th grader as well

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the internet has been making me pass classes since 2017

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Here 2020

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Facts

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When a 5 minute lesson teaches you more than a 45 minute lecture

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The best math teacher ever.
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@@10k- wasnt he just correcting the teacher doe

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well you explained it better than my math teacher thank you Brian much appreciated!

[@brianmclogan]

you are very welcome!

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i zoned out when my teacher explained it, thanks for explaining it!

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Hi

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Thx so much !! I understand how. At first I forgot how to do it but then it came to mind little by little !! Now Ik how to solve it

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You see, when a teacher can simply help a student by giving them a 5 minute review on things they did in the past, they can remember longer. My teacher thinks we know this by heart, but I just can’t because it’s hard for me. So these videos help me so much to get the review I need so I can not fail a simple assignment review. Thanks man.

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[@brianmclogan]

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[@brianmclogan]

you are very welcome!

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Who is that kid talking in the background he needs to quiet im trying to learn

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😂

[@edee.]

Thank you so much for this!! I've been procrastinating on an assignment for a week and a half simply because I didn't understand how to this one peculiar problem. This helped me solve it.

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Thank You Mr.McLogan I have a quiz tomorrow on this topic. I feel really confident on passing!!! :)

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Same dude

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hey dude how did you do on that quiz

[@vince79]

Thank you, this is a lot easier now

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Mother of a grade 9 boy student saved again by, yet, another excellent math lesson/explanation. Thank you!

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God bless you.. my teacher doesn't wanna teach so I gotta teach myself and this was so clear and straight to the point!

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man you are so helpful, my textbook is just too defective to even teach this basic level of mathematics. Thank you very much!

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Thanks! Really helped me understand this topic better.

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you did this video years ago and its still helping people to this day thanks

[@brianmclogan]

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Hello sir! I hope you're doing great. Appreciated a lot this video since this helps so much, in fact I was shock to know that this was posted 9 yrs. ago. Thank you.

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Brasil - excelente aula professor!

[@pickleman3706]

Thx for the video dude really helped me. I'm a 7th grader taking it 2 years early, so I'm kinda struggling. Now I will pass this quiz🤓

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same

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You are better than my teacher thx

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Thank you so so much, I understand so much better now

[@scribble71891]

So how do you pull this off when you have variables mixed in as well? The coordinates look something like this: (2a, 6ab), (5a, 8) and (5a, 0), (-6b, a). I have to determine whether the lines or perpendicular or not and I'm extremely confused as I've never seen anything like that before.

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Your 5 min video is better than my teachers 90 min class

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[@brianmclogan]

Happy to help Luis!!!

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[@aidan5577]

Wouldn’t the opposite of x be - 1/x since it’s original from is x/1 (x)

[@waleedseinpaal4962]

No, his original slope was 1x, but the 1 is the slope, not the x. X is just x. Therefore the opposite reciprocal slope comes to -1/1. Hope this helped. :)

[@brilz]

I prefer the point slope method, but this was clearly explained also, thank you!

[@brianmclogan]

I do to, but here is another example

[@roxanatapia7428]

thanks so much I have been watching your videos and helped me a lot in my test thanks

[@jonathanlopez9494]

I'm working on a problem trying to find the perpendicular lines. When I carry over a fraction to the other side, do I convert that fraction into a decimal, or do I simply put a one over the number on the same side and do the arithmetic?

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[@brianmclogan]

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Helpful. Thank you.

[@brianmclogan]

you are very welcome!

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Thank you sir, I'm trying to learn these lessons in English, really helpful, thanks!

[@brianmclogan]

you are very welcome!

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[@elverdeman9247]

I am glad you had good comments. You said two or three things that were not accurate but I guess. I always watch before showing and sharing ro my students. I am supposed to be making videos but yours are helpful to share so I keep procrastinating.

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3:10

[@elverdeman9247]

2:07 not a biggie but can confused some

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2:32

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Is this taught in pre calculus?

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very nice thank you my teacher explained it once and asked for 10 problems for hw

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[@ramlaaal]

Thank you so much, I was stuck on that ‘opposite reciprocal’ thing

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Thank you !

[@rok_noco1088]

Thank you very much! This helped me a lot. I now understand it :D

[@michalkachone3135]

Can you use point slope formula once you know the slope?

[@brianmclogan]

yes

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I got it now! Thank you!

[@brianmclogan]

you are very welcome!!

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You are my second professor!

[@Joeythegoats]

It's more easy through slope point form for me! As you explained in other video

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Why do you plug in the values of x and y

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THANK YOU

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[@brianmclogan]

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10 times better than my algebra 1 teacher good for review

[@brianmclogan]

awesome! happy to be able to help!

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This really helps during online class when nothing makes sense

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[@brianmclogan]

you are very welcome Adee!

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tfw a 5 minute video is better than 3 ,1hour class discussions

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3:52 John bruh

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you make my mathematical life easier

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what grade you teach?

[@brianmclogan]

I teach Pre-Calculus and Calculus

[@mohamedkamal9180]

oh, i am grade 7 and my lessons are 20% of ur vids

[@brianmclogan]

well I also taught Algebra 1 and Geometry for many years

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What about the 2/-3?

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thank you!

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[@campbellbuenzow7770]

For the y intercept we just do x=0 and it’s faster that way

[@brianmclogan]

Yep