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

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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.

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

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[@nestingherit7012]

Did you know that the other related word to slope is Romanian "Prislop"( high altitude terrain in a shape of a saddle)? I think that some returning Dacians brought the word from Birdoswald where Cohorts I Aelia Dacorum were stationed to work on Hadrian's wall in ad 123. Prislop ,pri'( on, above). + English ,slope' It is of English/ British origin because there are several words related to it. Slide, sled, slippery etc. There are over ,60 Romanian English similar words that neighbors don't have and I've searched them in Wiktionary Most are described as unknown origin' , and are not via French or Germanic languages. Another example is Bulgare( chunk,ball) in romanian from pie , b'h'alg' ( pile)/ bulk.

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7th grade math, unit 4, lesson 18

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Make vedeo on triangle

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[@racquelsabesaje4562]

y2=3

[@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.😊

[@olayosoyeolaitanhikmah750]

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[@racquelsabesaje4562]

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

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m=9-5/2-4

[@racquelsabesaje4562]

m=5-2/7-4=3/3=1

[@himanshuchhettri1475]

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

[@racquelsabesaje4562]

x2=1

[@racquelsabesaje4562]

m=6-2/10-2=4/8=1/2

[@channakyoutube0935]

Very good

[@racquelsabesaje4562]

m=rise/run

[@audreydaleski1067]

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

[@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=3-3/4-1=0/3=0

[@racquelsabesaje4562]

m=2/3

[@racquelsabesaje4562]

m=y2-y1/x2-x1

[@racquelsabesaje4562]

m=3

[@racquelsabesaje4562]

m=1

[@Loghat-wa-Fonoun]

Great

[@racquelsabesaje4562]

y1=1

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-1=-1/1

[@dddaaa6965]

1:54 ayyyyyyyyoOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

[@audreydaleski1067]

P, phi, theta.

[@racquelsabesaje4562]

x1=0

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m=-2

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

[@aadanhassanomar7268]

please . I need calculus

[@eddyherfst2923]

rise down or going down

[@simpleman283]

yes

[@racquelsabesaje4562]

y axis 3 x axis 0 yaxis 9 x axis 9

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m=0

[@racquelsabesaje4562]

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

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formula

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slope

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yl 1 0

[@racquelsabesaje4562]

y axis 0 x axis 3 y axis 2 x axis 2