Shortest Distance between a Point and Line - Equations of Lines

Method 1: Use equations of lines
1. Find equation of second line (slope is negative reciprocal)
2. Find point of intersection
3. Use distance formula

[@nylahandrews9098]

to be honest you teach better than my teacher

[@reginabarrios4890]

sameee

[@stoptrynakillme1952]

fax

[@ellena.n385]

fax

[@dressy421]

To be honest nobody asked

[@ayshaazami5431]

@@dressy421 🤣🤣

[@noscopegaming3286]

who else cramming b4 test

[@galacticblob6126]

learning the whole unit day before the test

[@annacusson5537]

im trying to learn this and my test is tmrw and now im more confused FML🤬😭

[@i_rika1]

my test is starting after 20 min

[@Cactusszss]

im using this to take my test rn lol

[@saiynman2126]

Mines in 2 min lmao

[@yvngrxxd9078]

I was so confused when my teacher explained this for 3 perioids, 7.5+ hrs, and your 7 minute video helped me understand tysm liked and subbed

[@sundas2827]

Dude you are awesome that is exactly what i needed to see

[@hamzabaig8856]

You should have 1 million subs for the way you teach and when you give confidence to students by saying "I believe in you" ...end of video . THANKS 😇

[@brookep17]

This video was literally a life saver, you explain things so easily! Thanks so much!

[@tiktokbyuukki3255]

ur such a good teacher u put a nice spin on normal teaching im suprised u dont have hundreds of thousands of subscribers really well done:)

[@atep3254]

You probably don’t care much about doing this - but I can assure you that this is much appreciated ! It is very helpful. Thank you !!!

[@mroldridge]

I appreciate that!

[@ibrahimm63]

thank you you the real GOAT. my garbage math teacher can't explain this even with 2 hours and 45 mins.

[@nate6984]

This example is literally the test question thank you

[@Rabbeck]

Thank you so much, I was so confused about this but now I can somewhat do the quiz tomorrow!

[@harveerhans5097]

Awesome way better than my teacher!

[@tradingmyturtle2742]

Why doesn't he care

[@thsxn.n]

Ohh... Wow!! This is so cool!! Now it's makes sense for me.Thank you so much!!!

[@aboodmohgazy2668]

very nice and useful.........

[@B.N.010]

Thank you sir🙏 i’ve been needing this

[@wow1574]

Thank you so much man you're so much better at teaching than my math teacher

[@ernestorodriguez4937]

thank you so much!!! I learned so much from this video. keep making awesome videos for us confused students. good luck!!

[@gabrielgutierrez1042]

Clear and concise. Thank u!

[@lebebeve4881]

You're better than my teacher. Thank you.

[@gurmanj102]

Thanks so much man, this is really helpful!

[@stoptrynakillme1952]

i have a test in literally like 30 minutes lol wish me luck i’ll come back and tell u guys how i did!

[@divyoroy9056]

how did you do on the test

[@matthewfleming3988]

How was the test?

[@benogden6483]

How’d you go

[@limabean_4711]

He lied to us...

[@parkerbabin]

StopTrynaKillMe how was your test 8 months ago

[@suraphelendalu4070]

Thank u sir that is great and simple explanation

[@emiliojr.cabandon6257]

ABSOLUTELY CORRECT, BUT THAT IS THE LONGEST WAY TO DETERMINE THE SHORTEST DISTANCE FROM A POINT TO A LINE. HOWEVER, THAT COULD BE BETTER IF ONE HAS NO IDEA THAT A DISTANCE FORMULA FOR THIS SITUATION DO EXIST.

[@katies8470]

best tutorial by far 3: thanks, my test is tomorrow and im just learning this ouo

[@chaojingcen8986]

You teach things so easily omg thank you so much for real

[@dheyaamz5517]

How can I find the distance between line and point in polar coordinate

[@ndidar6702]

This was very helpful thankss a lott ❤ I was doing one of my math questions along with u

[@Sarah-iv3bl]

amazing! saved me before a test!

[@billcipher1702]

Isn't it possible to derive the equation for the point, (-4,2) and then solve the equations to find the points of intersection?

[@huriaiqbal3395]

everything I try doesn't work. I need help. I thought it's a short cut for precalculus. I need help

[@nf.nights455]

How do you do the fractions?

[@Danstry]

Dude flexed his mental math skills so hard

[@Itsmoef]

Thanks man👌🏻👍🏻

[@aidanwalpole2591]

ACTUALLY THANK YOU SO MUCH

[@stellamonika1132]

in the second step, where does 32 come from?

[@HighwayShooter101]

I'm looking at this and I'm in college :(

[@kingkrazypantz8934]

im looking at this and im in 8th grade :I

[@Klipicike]

piekyle27 same lol. grade 12 and looking at this since the 10th.

[@AzeezAbass]

im in 1st year engineering 😂

[@cristinakhatiwada]

I am 14 and in 9th grade

[@divyoroy9056]

@@cristinakhatiwada I am 13 and in 8th grade

[@mathewsgwaza3007]

Nice 🙌🙌

[@charlotteryann]

This was so helpful thank you

[@AbdulWahab-jf6iz]

Funny attitude all the idc and whatever however very useful and concise

[@ahmedbaig7279]

You can draw a parallel lines to the perendicular right and left.This means another parallel line would be drwan to the line already existed. Then it is found that all of them except perpendicular would be hypoteneuse and certainly would be larger in length.

[@chavasinyadalmasgulema885]

thank you it was of great help ❤👍👍👍👍

[@immgoat3111]

Yk the vibe online test rn need dis

[@shishirholla2396]

tmrw i have xam and im here midnyt figuring dis out...... thankz fr making my job way lot easier😍😍😍😍😍

[@imbo3272]

What if the equation is ax+by+c=0?

[@MoMo-pt1yh]

Helped so much thanks

[@jackolson7071]

What if the equation is y^2 - x^4 - 4y + 2 = 0

[@eyerusamber165]

Thank you this really helped

[@mickbakema3520]

saved my brain thank you

[@shayestahtarannum2795]

Frm india.... Thanx so much

[@flame5789]

5:12 i wish, our teacher makes us remember about 5 equations each test

[@vlvt-things]

thank u i now found out how to find b of a formula after 3 years of highschool omg

[@fallenwoo8334]

good job 😍😍😍

[@garretthartfelder1215]

Good video!

[@Michal_Kedzierski]

Looks so easy when you do, when I do it I get crazy numbers lol

[@josefsanvictores2234]

This actually helped

[@gcmrgcmr]

its freaking clear even without your calcu

[@aidan325]

s/o this guy for Savin the day

[@AbdulAhad-oq6lz]

thanks man

[@EladAmon03]

I feel less stupid now, thanks.

[@youdontknowme8111]

THANK YOU !!! :)

[@berkayboyraz4268]

FOR FUCK SAKES HOW DAFUQ CAN THIS GUY TEACH ME THIS IN 7 MINUTES BUT NOT MY TEACHER IN 1 WEEK

[@Modest.200]

how to make sure that my answer is correct?

[@pratikparajuli5991]

Great Explanation! If you had multiple points such as (-4,2) and you calculated the 'd' to the slope for all of them. How would you determine the deviation/error of the 'd' value?

[@jagdishchandra2508]

Nice sir

[@fisslewine1222]

What if yo want to find the shortest distance between two points that form a line and a point?

[@mickapoo]

In your case, first find the equation of the line between the two points. Then, follow the instructions he laid out on this video to find the distance between your line and the point.

[@fisslewine1222]

boozapian that makes sense; but how would you form the equation of a line between two points?

[@mickapoo]

You can use point slope formula. y - y1 = m(x - x1)

[@hafsaimtiaz5832]

Why did uh flip 3x bt -1|3 plz explain

[@nafimershad8933]

Bcz... The product of slope parpendicular line of a given st. Line and the slope of the given st.line is -1

[@lohwenkong8347]

You could just do it by using: d = (|Ax_0+By_0+C|)/sqrt(A^2+B^2), as the point is (x_0, y_0)

[@sabrinadiminutto1348]

this was so helpful thank you so much

[@ShivShankar-mj1om]

I love you 💓💓💓😘

[@ShivShankar-mj1om]

I love you 😘💖💖

[@compositeembryo7186]

this formula is good for some collision detection. specifically between a circle and a line

[@theblinkingbrownie4654]

and that's exactly what I am doing.

[@jsunny22]

Would've been better if you explained how you got the slope of the second equation by illustrating the dot product of two orthogonal vectors is zero.

[@NehaUppal09]

He actually used that if m and M are the slopes of two perpendicular lines then m*M = -1 so, m = -1/M

[@NekoNoAme]

Thank God!!!

[@Thomas-hm5mf]

thanks bud

[@mason1797]

Thanks

[@khamisi__6378]

THX

[@huriaiqbal3395]

(2,0) 3x-4y+15=0 I changed it to y=mx+b form and got y=3x+3.5 then I tried to get an equation that intersects the line that is formed by the given equation. I got y=-1/3x+b I tried to find b I got -2/3 took both equations I got to equal each other (excluding y values) 3x+3.5=-1/3x+-2/3 solved. x=-25/8. Also known as -3.125 plugged my x value to one of the equations to get a y value. y= -2.375 used the distance equation d=√(x²-x¹)² + (y²-y¹)² plugged in the coordinates and got 7.627048905 I look at the answer key and I see 21/5. My answer is wrong. I need help

[@AnonYmous-zt6kr]

Huria iqbal you can also solve this by using another method : you have a point (2,0) and you have a line 3x-4y+15=0 (if the line is not in general line form, you need to rewrite it as that)(general line form: Ax+by+c=0) then you use d=|Ax+by+c| / √(A^2 + B^2) then you get d= |6+0+15| / √(9+16) which equals to 21/5

[@Espectador666]

5 years late but your b is positive 2/3

[@straightstraws4254]

What about calculating the distance from O(0,0) to 2 points? I feel I'm missing something

[@hamzabaig8856]

you haven't looked at the whole video

[@user-ne2hv7yu3m]

🤗🤗🤗🤗

[@themanfromtheeast2048]

love your f*cking energy man :)

[@darkbloom5385]

Thank you.

[@ostrich4president231]

Dude the real fucking hit is here omgomgogmogmogmogmogm!

[@ventcr3874]

doing this in grade 9 and we suppose to have formula memorized 😢

[@Deeznutter493]

it looks so easy when other people are solving it :(

[@endozoameeialoul.4133]

i don't get the fraction thing, help😭 heheheh

[@lucagamez2022]

common mr oldridge W

[@mylifeasriya]

why did we use negative reciprocal SOMEONE PLS HELP MEEEEE

[@Demon-uw9vc]

because its a perpendicular bisector so it makes the second line a 90 degree angle so the slope is gonna be the complete opposite 8 Months later but

[@nerissahenayon8613]

the distance is 7.6

[@frozenassassin0733]

Grade 9! Phew

[@simonee1549]

my test is in two days and i still have to understand stuff oof

[@bilalfarah2005]

are you somali LOL

[@simonee1549]

@@bilalfarah2005 huh

[@Nurg0]

Why doesn't he care? WHO HURT HIM

[@willhj06]

Lol dude my teacher spent 12 hours of class time to say what you just did in 7 minutes

[@sia461]

i’m in 9th grade 😭

[@genemomuhammed180]

find the equation of the line between the points (3,-7) and (-5,19)? okay and tell us bro

[@YX106]

Who else have exam tomorrow for math

[@andrewkola4208]

This guy is Jesus

[@anotherkage4392]

Ghhy

[@Godakuri]

My textbook is teaching me completely different and your way makes zero sense to my problems

[@TalkswithJinesh]

Thanks