How to Find the Equation of a Line Given the Slope and a Point | Slope-Intercept #shorts #math

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y=69x+420 option
I respect the person who put that as an option.

ADSWR
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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.

daudaconteh
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Y-y1 = m (X-x1)
Y-3 = -2(x-5)
Y-3 = -2x +10
*Add 3 to both sides*
Y= -2x + 13

CrimSn.
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I haven't used the slope formula in 20 years and I still remember it.

exiledfrommyself
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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 :))

ToRiossiestaA
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I'm kinda proud that this is an extremely easy problem for me now tbh

arandomperson
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Differential calculus is kicking my butt right now so I'm overjoyed to see algebra I know how to do 😂

Ksweetpea
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I remember similar questions popping on my sat, didnt know it was this simple

charliewatson
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So we immediately know it’s not D by process of elimination

-BRICKZ
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Y-y1=m(x-x1)
M=slope
X1 & Y1= coordinates provided

damianroybal
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Can also be done by point-slope method
y - 3 = (-2)(x - 5) simplifies to the answer.

johngreen
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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.

timeonly
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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

charlesanstine
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Life savor, seriously thank you for this

tmydiddy
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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.

Cool_Name_
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wow this helped me with me summer work ty

krishavirpariya
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Bro, my professor don’t explains it well but you do and I love it 😀🙏🏻😳

Thisaccountisrip
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I love this! My 3 year old sister also enjoys these problems and they're probably her favorite!

disgracedmilo
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There is direct formula (y-y1)= m(x- x1)

dotandM
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Or just plug x value (5) and see which result is y=3

alanstar