– WE WANT TO DETERMINE

THE EQUATION OF THE LINE THAT IS PARALLEL TO Y=-5X + 4

AND PASSES THROUGH THE POINT WITH COORDINATES (-1,4). THE MAIN THING TO REMEMBER HERE

IS THAT IF LINES ARE PARALLEL, AS WE SEE HERE ON THE RIGHT, THE

SLOPES ARE EQUAL TO EACH OTHER. SO IF WE WANT A LINE

THAT IS PARALLEL TO Y=-5X + 4, THE SLOPE OF THE NEW LINE

MUST BE -5 AND IT PASSES THROUGH

THIS POINT. SO NOW WE NEED TO FIND

THE EQUATION OF A LINE WITH A SLOPE OF -5

THAT CONTAINS THE POINT (-1,4). NOW, THERE ARE TWO MAIN WAYS

OF DETERMINING THE EQUATION OF A LINE

GIVEN THE SLOPE AND A POINT. WE CAN USE JUST SLOPE INTERCEPT

FORM, WHICH IS Y=MX + B OR WE COULD USE

POINT SLOPE FORM, WHICH IS

Y – Y1=M(X – X SUB 1). I’M GOING TO GO

AND SHOW THIS BOTH WAYS. SO IF WE USE SLOPED INTERCEPT

FORM WE CAN SUBSTITUTE -5 FOR M. SO WE’D HAVE Y=-5X + B, BUT WE STILL NEED TO DETERMINE

THE Y INTERCEPT. AND THIS Y COORDINATE

IS NOT THE Y INTERCEPT BECAUSE X IS NOT=0, BUT THIS POINT IS ON THE LINE SO

WE CAN SUBSTITUTE THESE VALUES INTO THE EQUATION

AND THEN SOLVE FOR B. SO WE’LL SUBSTITUTE -1 FOR X AND

POSITIVE 4 FOR Y TO DETERMINE B. SO WE’D HAVE 4=-5 x -1 + B. SO WE HAVE 4=5 + B. SO NOW WE’LL SUBTRACT 5

ON BOTH SIDES TO SOLVE FOR B. SO WE HAVE B=-1. SO NOW WE CAN SUBSTITUTE -1

FOR B INTO THIS EQUATION HERE AND WE HAVE THE EQUATION

IN SLOPE INTERCEPT FORM. WE WOULD HAVE Y=-5X AND

THEN + -1 IS EQUIVALENT TO – +1. SO THIS WOULD BE OUR EQUATION

IN SLOPE INTERCEPT FORM. AND I’LL SEE IF WE GET

THE SAME EQUATION IF WE USE

POINT SLOPE FORM INSTEAD. REMEMBER IN POINT SLOPE FORM

M IS STILL THE SLOPE, BUT X SUB 1, Y SUB 1 ARE THE CORNERS OF ANY POINT

ON THE LINE. SO WE’LL USE -1 FOR X SUB 1

AND 4 FOR Y SUB 1. SO WE WOULD HAVE Y – 4=-5(X). AND THEN HERE WE’D HAVE – -1,

WHICH IS EQUIVALENT TO 1. AND NOW TO WRITE THIS

IN SLOPE INTERCEPT FORM WE’LL SOLVE FOR Y

SO WE’LL DISTRIBUTE HERE. SO WE’D HAVE Y – 4=-5X – 5

AND THEN WE ADD 4 TO BOTH SIDES, THIS WOULD BE ZERO. AND YOU CAN SEE WE’RE GOING TO

HAVE THE SAME EQUATION. WE’LL HAVE Y=-5X

AND THEN THIS IS -1. SO AS YOU CAN SEE

WHICHEVER METHOD YOU USE THE RESULT IS THE SAME. IT JUST DEPENDS ON WHAT METHOD

YOU WANT TO USE. LET’S GO AHEAD

AND QUICKLY VERIFY THAT THIS LINE IS PARALLEL

TO THE GIVEN LINE AND CONTAINS THE POINT (-1,4). RIGHT AWAY WE CAN SEE

THEY HAVE THE SAME SLOPE SO THEY ARE PARALLEL. THE GIVEN EQUATION PRODUCED

THE RED LINE AND THE EQUATION THAT WE FOUND

PRODUCED THE BLUE LINE. NOTICE HOW THE BLUE LINE DOES CONTAIN THE POINT (-1,4)

RIGHT HERE. HAS THE SAME SLOPE

AS THE RED LINE, WHICH WAS -5 AND IT DOES HAVE

A Y INTERCEPT OF -1. SO THIS VERIFIES

OUR WORK IS CORRECT.

The y-intercept is (0,b). The given point on the line is (-1.4). Notice the y-coordinate is 4, but this is not the y-intercept since the x-coordinate in not 0. This is a common error.

Nice thank you very much

12,000th view!

I really like your background. What software did you use?

thank you sooooo much !!

Thank you so much teach'.

thank you very much π

Why didn't you so anything with the other 4 on the left side?

So confused

Thank you sooooo much!!!!

THANK YOU SOOOO MUCH!!!! HELPED ME SOOOOO MUCH <3 <3 π π π π

What program is this?

Thank you, thank you so much for your help!!!!!

I have the same problem, (8,10) for the points but for the y-intercept I have y= 8/3x+7. I'm really bad at fractions, how would I solve this?Β

You are the best, thanks man.

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you teach better than most schools do tbh

Easier than any math teacher that taught me. Thank you

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Brilliant! Thanks

Saved my grade!I really understood well!!! you are the best

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Thank you so much! your far more capable than my teacher :)))

im following the instructions but its not working. my problem is 3x+4y=10 the points given are (5,8).

Thank you so much π I understand so much now.

Thank you very much. I have been struggling to "see" this and now I understand. And you gave both examples. !!!

thank god for this channel

God bless you, man. Thanks.

What happens if they are just ordered pairs and no slope give how would you do that?

OMG THANK U SOMEONE FINALLY CLEARLY EXPLAINED THIS. Thank you for saving my math grade lol

better than my teacher

Wait why did we disregard the 4? (y=-5x+4)

Ohmygosh this video is such a great help

Thank you for sounding human,

all the other videos sound like robots lol

this helped me alot!

this is so helpful

Thank you!

Thank you so much

Now if the equation says y=x-8, would I write that as y=x-b or y=x+b when folowing the first step?

Thank you.

thanks it was very helpful. its like life saver

Thank you so much, this defiantly helped!

thx so much π

Write an equation for the line parallel to the line β4x β 3y = β1 through the point (6, β9). Please enter your answer in slope-intercept form or standard form. How would you solve this equation?

thank you

Fantastic!

Thank you for captioning this

so when you use the equation y=-5x+4 , you dont do anything with the +4 ? you only use the slope and the point ? so you just basically dont pay attention to the +4 am i right ??

Thank you very much sir

i cried when i figured out how to do it then my clit settled down

Thank you so muchhh! π

I probably would have failed geometry if it wasn't for you guys LOVE YA!!

Thank You!!!

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My Algebra grade would've dropped from an A to a D if it weren't for this video!! Thank you!

Gotta say, I'm learning this right now in school, I missed the day where the teacher explained it, and I have a test the next day. This saved my life!!!!

thanks!!

what the fuck, i think i might have understood maths

Thank you so much! This was very helpful. Hopefully I do well on my quiz tomorrow! πππΎ

Why does sometimes Youtube teach better than School

dude you're the best

I do wish you'd stop smacking your lips against the mic. It's REALLY distracting.

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Thank you again!!!

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Thank you!!!!!!!

THANK YOU!!!!!!!!!!!!!!

You are my math hero

This was very clear and understanding thank you

U have just saved me, I have an exam tomorrow and this vid had genuinely just saved me, thanks soooo much

This is so much easier now that i understand it! Thank you so much!

thank you!!

bro ur a god in the maths worldπππ^_^^_^^_^^_^^_^^_^^_

How do we know we add 4 to both sides 3:06

Thank you dude, if your channel is all maths formulas, imma subscribe.

Thank u sooooo much

Thnks alot

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thx

Thank you so much, I'm finally understanding this concept,my teacher sucks

Dont understand why this has any dislikes at all. Thank you so much!

THX

π

thank you u litteraly teach better than my advanced math class teacher

Only 30 seconds in and I understand my math so much better already.

Fuck math

Subscribed

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If there were a way to graph my shift of motivation, it would have a slope of 1 million. Hahaha thank you!!! So helpful.

LIFESAVER π

Yo why'd u sound like u don't wanna teach

I have a test tommorow…

What we do if the equation is x+24=-5 and the point is (1,2)? How do we solve this if we do not have a y?

Got a geo test tmrw and this rlly helped. Even 8 years later, thanks bud.

his voice has a calming effect, and that's saying something because usually I hate math (srry math lovers)

Thanks

what a legend

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saved my sanity tonight! helping my daughter with homework and didn't know how to explain this! you did it perfectly!

Thank you