What is Slope of a Line? Slope Formula, Rise Over Run & Equation of a Line - [7-4-18]

More Lessons: www.MathAndScie...
Twitter: / jasongibsonmath
In this lesson, you will learn how to calculate the slope of a line and interpret the slope. The slope of a line describes how steep the line is slanted. A flat horizontal line has a slope of zero. A vertical line has an undefined slope (or infinite slope). Lines slanted at an angle have slopes in between zero and infinity. We use the slope formula to calculate the slope and use this information to write down the equation of a line, which we can then graph. The slope formula has us calculate the rise between two points on the line and divide this by the run, or horizontal distance, between the points. By calculating the rise over run, we find the measure of the slope of a line.

[@jasonbelcher4476]

When I was in Algebra, oh 25 years ago I would ask that same question, "why is this important?" I wasn't trying to be difficult but for me back then and even now I like to know the concrete use cases of whatever I'm learning. It helps me have motivation. I'm preparing to go to college as a 43 year old adult and I'm finding your style of teaching "addictive" to say the least. Thank you so much!

[@MathAndScience]

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I am so thankful that I came across your site. The thorough way you teach is perfect, the way you repeat and emphasize steps is just what I needed to understanding the rise over run. I will definitely be watching and learning from your other videos.

[@MathAndScience]

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[@THEDMSONLINESCHOOL]

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I had been struggling to really understand fractions w/negatives. Not any more. Great lesson.

[@MathAndScience]

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[@andrewidjajasolo8175]

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[@muhammadrafiqulislamkhan6994]

Very interesting class. I have enjoyed. Thank you. Would you give me an idea about your slope 1,2 video?

[@emmanueljallieu8782]

Mr Jason you are indeed a real teacher.i would be happy to have you in sierra leone.please help me on y=px^2+q/xy and x is not equal to zero and p and q are constants 1.find dy/dx 2.show that x^2d^2y/dx^2+7xdy/dx+8y=0

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[@inesnavarrete4032]

finally i understand the slope formula!!!!! Thank you so much!!!!

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[@walterbrown8694]

When the 1st derivative of a function is zero, the slope is constant. When the 1st derivative of a slope is non-zero, the slope is variable.

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[@MathAndScience]

Very happy to hear this! Congrats!

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[@cedricmacapaz706]

Hello when i try to pick two points (3,2) (5,10) i get m = 4 instead of m = 3

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I wish that you could have been my personal teacher

[@geoffreyjones3832]

Thank you! I sent this to my niece before the negative slope calculation. Can't we say a negative slope equals a descent rather than "rise down" which sounds oxymoronic?

[@MathAndScience]

Yes, you can certainly think of it as a decent. I speak of it in terms of a rise down, because the slope calculation is rise divided by run. So if you consider the rise as being a negative rising going down then you will automatically get a negative slope of a calculation. That’s why I refer to it that way but you can certainly think of it as a decent just as you stated.

[@geoffreyjones3832]

@@MathAndScience thanks! Actually, thanks for not pointing out my misused expression, oxymoronic.😊

[@simasaber8981]

thanks🙏

[@light9325]

Great teacher!

[@MathAndScience]

Thank you!

[@audreydaleski1067]

Hiw can anyone take a coarse on slope year after year.

[@AliceLacwen]

How about the % in to numbers amazing. 16:30

[@02asc56]

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[@MathAndScience]

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[@olayosoyeolaitanhikmah750]

Good 👍

[@racquelsabesaje4562]

m=3-1/1-0=2/1=2

[@racquelsabesaje4562]

m=9-5/2-4

[@baraneemanoharan1609]

love it

[@himanshuchhettri1475]

why is the slope of a line rise by run and not run by rise

[@racquelsabesaje4562]

m=4-2/7-5=2/2=1

[@racquelsabesaje4562]

y2=3

[@racquelsabesaje4562]

m=rise/run

[@rdadamo1]

Seems a bit confusing to me that you show the coordinates of points 1 and 2 as (run, rise) when the slope is calculated as rise/run.

[@MathAndScience]

What exactly is confusing? The coordinates of the points are the pieces of information necessary to calculate the slope which is the rise divided by the run.

[@simpleman283]

The coordinates of the points are always written (x,y). That does not mean x/y. It's done like that so anyone will know the first number is always the x axis & likewise second number is the y axis. That is just the way graphs are.

[@racquelsabesaje4562]

m=2/3

[@racquelsabesaje4562]

m=3

[@dddaaa6965]

1:54 ayyyyyyyyoOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

[@racquelsabesaje4562]

x2=1

[@racquelsabesaje4562]

m=1

[@racquelsabesaje4562]

m=y2-y1/x2-x1

[@Loghat-wa-Fonoun]

Great

[@racquelsabesaje4562]

m=-2

[@eddyherfst2923]

rise down or going down

[@simpleman283]

yes

[@aadanhassanomar7268]

please . I need calculus

[@racquelsabesaje4562]

slope

[@racquelsabesaje4562]

y axis 9 x axis 4 y axis 5 x axis 2

[@racquelsabesaje4562]

m=0

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formula

[@racquelsabesaje4562]

yl 1 0

[@racquelsabesaje4562]

y axis 3 x axis 0 yaxis 9 x axis 9

[@racquelsabesaje4562]

m=y2-yi/x2-x1

[@racquelsabesaje4562]

y axis 1 x axis 2 y axis 7 x axis 4

[@harrymallory7963]

Why "m"? Anybody know?

[@simpleman283]

if u find out, let me know.

[@harrymallory7963]

@@simpleman283 The general consensus is "m" is French for "monter" or to climb. Im guessing somehow the french were in place to determine what the terms of notation were called considering it was a Frenchman (Decartes), who came up with the Cartesian coordination system in the first place.

[@simpleman283]

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Second

[@nestingherit7012]

Slope = Prislop ( high altitude terrain in a shape of a saddle) in Romanian. I guess that my other comment was hidden.

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x1=0

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y axis 3 x axis 1 y axis 3 x axis 4

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[@VinTagebeats]

Thank you so much !

[@racquelsabesaje4562]

m=rise/run

[@racquelsabesaje4562]

m=2

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m=y2-y1/x2-x1

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formula

[@racquelsabesaje4562]

y axis 2 x axis 2 y axis 6 x axis 10

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[@MathAndScience]

Thank you!

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m=7-1/4-2=6/2=3

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m=2-0/2-3=2/-1=-2

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m=9-5/4-2=4/2=2

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[@MathAndScience]

Thank you and you too!

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