Another method here also: Equation of a str. line given the gradient/ slope and the 2 points or coordinates. = y - y¹ = m ( x -×¹ ) m = - 2, pts ( 5 , 3) = ( x¹ , y¹) y - 3 = - 2 ( x - 5) y - 3 = - 2x + 10 y = -2× +10 +3 y = -2× + 13.
Guys for those who is confused about how he got 13=b is you needed to transposse the -10 to become positive. Remember. After you multiply the X and the Slope. You always have to transfer after you Multiply them. So just an example here The Slope is:(5) And Point the(-6,3) So we're gonna use y=mx + b(this is our formula) So our Y is 3, the slope is 5, and the x is -6, so 3=5(-6)+b 5 multiplied by -6 is -30 So its gonna be 3=-30+b, now the next method is common. For students to make mistakes about what to do next. After we multiply the Slope to our X Value. We're gonna always transspose the -30 or the Value we Multiplied. So transposse -30 it will become 30 since its negative it will become positive. So 3+30=b. Remember. After you transposse we can write the operation which is positive. After we transposse we can already subtract or add the numbers depending on the operation. For thos who dont get it how our operation becomes positive is because when the negative is transposed into positive our operation that we're going to use is positive(the new operation since positive means Plus or Adding) so 3+30 is 33 so b=33 So its y= (to the slope which is 5) Y=5x (always remember to put x to the right side of our Slope) and then the Value of B which is 33 So Y=5x+(since it's positive) 33 So Y=5x+33 :))
You actually can solve this question with differential calculus Since the derivative is the slope of the tangent line, integrating the slope they give you (-2) gives you an equation for the original line (y=-2x + C) Then you plug in the given values for y and x to solve for C, and then since y=-2x + C is in the form y=mx+b, C is the y-intercept
I'm 60 years old and I love watching these videos, I didn't realize how much I didn't know, keep the good work up, you must make your parents really proud
@@kerranky in y=mx+b, slope is m. since it says slope is -2, you substitue -2 in m. next, coordinates (5,3) is just (x,y) so 5 is x and y is 3. you substitute the value in y=mx+b. so it is 3=-2(5)+b and if you solve that, it’s 13=b and substitute the value of b in y=-2x+b
I think there's an easier way. You know the slope is -2, so a, b, c. But can't be d. But also can't be a because not through origin. So just b, c. Plug in the coordinates into b which obviously doesn't work, so c. Double check and c works.
Once we get y = -2x+b from slope m = -2, we eliminate option D. Then, plug in x=5 & y=3 into each of the other equations (options A-C) to see which one becomes a true statement. The evaluation of simple expressions with relatively small numbers goes VERY fast; don't underestimate the guess-and-check method of problem solving, especially if you're paying attention and use the results of missed guesses to make better guesses.
Nothing wrong with the technique used here, but something a little more straight forward is to use point-slope form for linear equations: y-y₁=m(x-x₁) No need to find 'b'. Just plug n' chug!
I'm used to a graphic calculator so I write lines as y = slope (x - x1) + y1. So this line would be: y = -2 (x - 5) + 3 y = -2x +10 +3 y = -2x + 13 mabye it is a lil faster, idk.
I struggled with this so much in 8th grade. Ofcourse, now that I'm a highschool graduate I can easily understand the problem but it is completely useless.
There was no reason to make this multiple choice. This makes the question so easy for everybody. Just place the 5 for the x and the 3 for the y and figure wich equation is correct. Having no answeres given would actually prove if the student knows his stuff
I have question, when do you use the point slope formula versus the regular-slope formula? I just learned the point of this year and I don’t know like kind of when we use either one, so if anyone could tell me it would be much appreciated.
y=69x+420 option
I respect the person who put that as an option.
yes
😂
Dumb
Now stop it!
Another method here also:
Equation of a str. line given the gradient/ slope and the 2 points or coordinates.
= y - y¹ = m ( x -×¹ )
m = - 2, pts ( 5 , 3) = ( x¹ , y¹)
y - 3 = - 2 ( x - 5)
y - 3 = - 2x + 10
y = -2× +10 +3
y = -2× + 13.
Thanks ❤
@@__Aikoo_ you can read it? 0-0
@@__Aikoo_can u tell me what kind of language is that please😢 🙏
Just study basics
I haven't used the slope formula in 20 years and I still remember it.
There was not a single thing in all of school that was emphasized as much as slope 😭
i was taught it being gradient not slope, ig they use slope in american syllabus because im studying igcse and they call it gradient
Y-y1 = m (X-x1)
Y-3 = -2(x-5)
Y-3 = -2x +10
*Add 3 to both sides*
Y= -2x + 13
Guys for those who is confused about how he got 13=b is you needed to transposse the -10 to become positive. Remember. After you multiply the X and the Slope. You always have to transfer after you Multiply them. So just an example here
The Slope is:(5)
And Point the(-6,3)
So we're gonna use y=mx + b(this is our formula)
So our Y is 3, the slope is 5, and the x is -6, so 3=5(-6)+b 5 multiplied by -6 is -30
So its gonna be 3=-30+b, now the next method is common. For students to make mistakes about what to do next. After we multiply the Slope to our X Value. We're gonna always transspose the -30 or the Value we Multiplied. So transposse -30 it will become 30 since its negative it will become positive.
So 3+30=b. Remember. After you transposse we can write the operation which is positive. After we transposse we can already subtract or add the numbers depending on the operation. For thos who dont get it how our operation becomes positive is because when the negative is transposed into positive our operation that we're going to use is positive(the new operation since positive means Plus or Adding) so 3+30 is 33 so b=33
So its y= (to the slope which is 5)
Y=5x (always remember to put x to the right side of our Slope) and then the Value of B which is 33
So Y=5x+(since it's positive) 33
So Y=5x+33 :))
Thanks bro! This explanation really helped a ton
Thanks, this explanation saved me before my test 😂
Bro I swear I’m looking at hyroglyphs
I'm kinda proud that this is an extremely easy problem for me now tbh
Differential calculus is kicking my butt right now so I'm overjoyed to see algebra I know how to do 😂
You actually can solve this question with differential calculus
Since the derivative is the slope of the tangent line, integrating the slope they give you (-2) gives you an equation for the original line (y=-2x + C)
Then you plug in the given values for y and x to solve for C, and then since y=-2x + C is in the form y=mx+b, C is the y-intercept
Oh God that's what I'm going through rn 😫
I'm 60 years old and I love watching these videos, I didn't realize how much I didn't know, keep the good work up, you must make your parents really proud
Why 💀
@@infinyer2323 fr
@@infinyer2323 because he studies not like you who plays games 24/7. And get F
I will try to keep studying no matter how much others call me dumb for not understanding as fast them. I like learning🙏
Justin you are a fking lifesaver
I remember similar questions popping on my sat, didnt know it was this simple
Simple? I don’t understand at all
@@kerranky in y=mx+b, slope is m. since it says slope is -2, you substitue -2 in m. next, coordinates (5,3) is just (x,y) so 5 is x and y is 3. you substitute the value in y=mx+b.
so it is 3=-2(5)+b and if you solve that, it’s 13=b and substitute the value of b in y=-2x+b
So we immediately know it’s not D by process of elimination
Y-y1=m(x-x1)
M=slope
X1 & Y1= coordinates provided
Thanks
y-3=-2(x-5) so what do you do next
never mind this is helpful i solved it myself thanks
Y-y1=m(x-x1) point slope formula. I commented and didn't watch. Hahaha
Edit: this works too.
Yeah he’s trying to give the simplest way ig
did it in my head before watching
Using this formula, i got y=-2x+8
@@koysensei4424 You must’ve made a mistake then.
@@idealess718 this way is simpler in my opinion
Or just plug x value (5) and see which result is y=3
thats nice
There is direct formula (y-y1)= m(x- x1)
Can also be done by point-slope method
y - 3 = (-2)(x - 5) simplifies to the answer.
Answer D is wild 💀
I would've picked it just cause it was the only different one 💀
I have been trying to understand this genuinely for the past 10 years. I did not get it until right now.
Y=mx+c is a equation of st.line.
I think there's an easier way. You know the slope is -2, so a, b, c. But can't be d. But also can't be a because not through origin. So just b, c. Plug in the coordinates into b which obviously doesn't work, so c. Double check and c works.
Just plug the coordinates. If the answer is right it's that equation and if two or more option are correct the use this method.
Once we get y = -2x+b from slope m = -2, we eliminate option D. Then, plug in x=5 & y=3 into each of the other equations (options A-C) to see which one becomes a true statement.
The evaluation of simple expressions with relatively small numbers goes VERY fast; don't underestimate the guess-and-check method of problem solving, especially if you're paying attention and use the results of missed guesses to make better guesses.
You make it look so damn easy.
Bcoz it's too easy just a basic math
@@STREAMNOU Cool.
There’s a simpler method.
It's literally basic math
@@LordStanley94 oh lord 💀 just wait till you get in calculas if you even get there, this is nothing compared to it
Life savor , seriously thank you for this
Big tak for some
You could just put it in the equation:
y-given y=m(x-given x)
Which is y-3=-2(x-5)
Nothing wrong with the technique used here, but something a little more straight forward is to use point-slope form for linear equations: y-y₁=m(x-x₁)
No need to find 'b'. Just plug n' chug!
bruh we can use the formula y - y1= m(x-x1) where x1 and y1 are 5 and 3 respectively and m is the slope of the line.
I love this! My 3 year old sister also enjoys these problems and they're probably her favorite!
bro tryna flex about sister💀💀💀
@@Kr1t1kal-JS15 it was a joke on how easy it is.
I just used the point-slope form.
Just plug in the values and realize that only C is positive (between A-C)
Once you get the -2x part just check the answers knowing if you plug in a 5 the answer is 3.
The last option lmao
Why is 420 a dirty number again? I forgot
@@This_handle_is_not_available Not dirty. Look it up
youre a life saver
What is the significance of 69,420? It's always the last choice.
EDIT: Oh, wait is it a naughty reference combined with a weed reference?
Yes😂😂
Bro, my professor don’t explains it well but you do and I love it 😀🙏🏻😳
I'm used to a graphic calculator so I write lines as y = slope (x - x1) + y1.
So this line would be:
y = -2 (x - 5) + 3
y = -2x +10 +3
y = -2x + 13
mabye it is a lil faster, idk.
You could do this but it isn’t any quicker. Besides, the method shown is the video is substitution.
Thank you
Thank you so much for this
Good bless you. Thank you for bringing my memories
wow this helped me with me summer work ty
I love you Ty sm 😍😍😍😍
Thank you for this video
It can be solved in 2 sec by using one point slope and with zero chance of error
I got answer in 5 seconds but I respect option D as well.
Idk man D looks like a pretty solid option
Thank you 😁
You can also use slope point form
i learnt y-intercept as c
I just use the formula y0 - y1 = m(x0 - x1)
I struggled with this so much in 8th grade. Ofcourse, now that I'm a highschool graduate I can easily understand the problem but it is completely useless.
I’m in University and still I was like what will he do after the formula
I love your videos. Genuine question: can you post stuff on time and work and statistics?
Letter C
I just learned this! :)
Thank you❤
this is so easyyy
Thanks bro 🎉
Sm easier than what my math teacher said
It intersects at a point that has odd numbers and a slope with an even. C based on that no math needed.
There was no reason to make this multiple choice. This makes the question so easy for everybody. Just place the 5 for the x and the 3 for the y and figure wich equation is correct.
Having no answeres given would actually prove if the student knows his stuff
Can you make a quadratic function?
If this is an sat question i would demolish that test
Good day! I was wondering, what kind of device you are using so that you can draw on the screen? Because i wanna buy it in the future, thanks! ❤
Why not use point-slope form?
I have question, when do you use the point slope formula versus the regular-slope formula? I just learned the point of this year and I don’t know like kind of when we use either one, so if anyone could tell me it would be much appreciated.
Or use point slope formula...
Bro holy sh that saved my exam lol
y=-2x+13
Man you’re super smart Justin. May you help with my calculus 1 class?
its called gradient and its y=mx+c not b
Easiest question ever
How do you put this into a graph
y-y¹=m(x-x¹)
Alex sir joined the chat😎
Thx bro
I just looked to see which equation had a slope of -2 and then plugged in the (5,3)to x and y to check which was true
But why would 5 be x and why is 3= y
Just plug the value in eqn.
So when x = 0, Y = 13?
Can u do for reflection and rotation through the line Please
Nice
Jesus christ i havent looked at geometry in a decade
In Italy instead of B we use the q.
me when he started with slope intercept instead of point slope😭
Yall dont crucify me for asking but why cant you multiply the points and then add the slope to get B? It also equals 13 or is that just a coincidence?
Me not replacing x with 5 and y with 3 in the options
And still they come where the answer is c). Seriously, what's the point of posting these if the answer is only ever c).
just put it into point slope form
Just like I’m school I did not pay attention at all
C is the exact answer
what is slope how wecan find
Jee mains ka pyq hai
Or just put 5 in each equation and look for the one that gives you 3
What is calculus
Name of the book ?
i forgot what what the equation of a line with a point a given slope but it seems i remebered it vaguely and solved it
What grade of math is this?
y=-2x+13...? (...C)
.
Do it with apples.
D