Slope formula (equation for slope) | Algebra (article) | Khan Academy (2024)

Learn how to write the slope formula from scratch and how to apply it to find the slope of a line from two points.

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  • Jack Smith

    7 years agoPosted 7 years ago. Direct link to Jack Smith's post “Why is the slope formula ...”

    Why is the slope formula y/x? Why not y-x or y+x?

    Thanks to anyone who answers.
    Jack.

    (27 votes)

    • Sanjana Gurram

      7 years agoPosted 7 years ago. Direct link to Sanjana Gurram's post “Slope is something that i...”

      Slope formula (equation for slope) | Algebra (article) | Khan Academy (4)

      Slope formula (equation for slope) | Algebra (article) | Khan Academy (5)

      Slope formula (equation for slope) | Algebra (article) | Khan Academy (6)

      Slope is something that is also referred to as the rate of change. For example, if you had a savings account that you deposited no money into initially but you deposit 20$ weekly, your rate of change, or slope for this problem would be 20. This is because your x-value in this situation would be the number of weeks passed since you have created your bank account, and the y-value is how much money you have deposited into your account, fully. Since you are looking at the rate of change between the weeks, you divide the change in y per week, 20, by 1 for the number of weeks. I hope this somewhat answers your question.

      (73 votes)

  • UAO

    4 years agoPosted 4 years ago. Direct link to UAO's post “*Something To Think About...”

    Something To Think About
    I think that when x_2 = x_1 then the slope will become undefined because x_2 - x_1 equals zero. Therefore when you divide y_2 - y_1 it won't be possible.

    Example

    (5,10) (5,15)

    x_1 = 5
    x_2 = 5
    y_1 =10
    y_2 =15

    5 - 5= 0

    15-10=5

    5/0= Undefined

    (40 votes)

  • Suzuki

    9 months agoPosted 9 months ago. Direct link to Suzuki's post “why do i have a feeling t...”

    why do i have a feeling that im going to die after i make it through slopes

    (26 votes)

    • 44386

      9 months agoPosted 9 months ago. Direct link to 44386's post “Because we all will die”

      Slope formula (equation for slope) | Algebra (article) | Khan Academy (14)

      Because we all will die

      (15 votes)

  • Adrian Ambrosetti

    5 years agoPosted 5 years ago. Direct link to Adrian Ambrosetti's post “I think that when X2 = X1...”

    I think that when X2 = X1, the slope is undefined

    (20 votes)

    • Isha

      3 years agoPosted 3 years ago. Direct link to Isha's post “Yes! That is correct.”

      Yes! That is correct.

      (5 votes)

  • jvald37

    7 years agoPosted 7 years ago. Direct link to jvald37's post “Why do we always take cha...”

    Why do we always take change in y over change in x Why not vice versa ?

    (6 votes)

    • nisha.scullino

      4 years agoPosted 4 years ago. Direct link to nisha.scullino's post “slope is rise over run, a...”

      slope is rise over run, and rise is y, while x is run.

      (4 votes)

  • christian31994

    7 years agoPosted 7 years ago. Direct link to christian31994's post “If I Get The Right Answer...”

    If I Get The Right Answer Then Why Do I Have To Simplify?

    (4 votes)

    • Isha

      3 years agoPosted 3 years ago. Direct link to Isha's post “Simplifying just makes it...”

      Simplifying just makes it easier to read/understand. It makes it more "simple." Although both are equal, it is just easier to work with if it's simplified afterwards.

      (6 votes)

  • Isaiah softhal

    4 years agoPosted 4 years ago. Direct link to Isaiah softhal's post “bro im honestly so gone”

    bro im honestly so gone

    (7 votes)

    • T̷h̷e̷C̷o̷d̷i̷n̷g̷L̷e̷g̷e̷n̷d̷ INACTIVE

      4 years agoPosted 4 years ago. Direct link to T̷h̷e̷C̷o̷d̷i̷n̷g̷L̷e̷g̷e̷n̷d̷ INACTIVE's post “Slope is basically the ch...”

      Slope is basically the change in the y direction divided by the change in the x direction. If you don't know graphs, you might want to learn that first.

      (1 vote)

  • Sean Chai

    2 years agoPosted 2 years ago. Direct link to Sean Chai's post “Something to Think About:...”

    Something to Think About:
    When x1 = x2, it means that x1-x2=0. So therefore the formula will simplify to y/0. And as x/0 is undefined, the slope should also be undefined.

    (6 votes)

    • ('_')

      8 days agoPosted 8 days ago. Direct link to ('_')'s post “when a slope is undefined...”

      when a slope is undefined, its completely vertical.

      (2 votes)

  • Joy Young

    7 years agoPosted 7 years ago. Direct link to Joy Young's post “in the formula mx+b=y, I ...”

    in the formula mx+b=y, I understand that "m" is the slope and "b" is the y-intercept, but what is x and y?

    (4 votes)

    • Alan Wang

      7 years agoPosted 7 years ago. Direct link to Alan Wang's post “when you graph the line, ...”

      when you graph the line, mx+b=y and fill in the slope and y-intercept, the x and y represent points that are on the line that you graphed. For example, if the equation was 5x+10=y, you could create pairs of (x,y) coordinates by plugging in numbers for x and y. In this case, if x was 5, y would be 35 or vice versa. Based on this, you could say that (5,35) is a point on the line, 5x+10=y.

      (6 votes)

  • sp6356

    3 years agoPosted 3 years ago. Direct link to sp6356's post “Using the slope​ formula,...”

    Using the slope​ formula, find the slope of the line through the points (0,0) and(3,6) . Use pencil and paper. Explain how you can use mental math to find the slope of the line. The slope of the line is enter your response here. ​(Type an integer or a simplified​ fraction.)

    (4 votes)

    • David Severin

      3 years agoPosted 3 years ago. Direct link to David Severin's post “0s make it easy because y...”

      0s make it easy because you end up with a proportional relationship where y/x = 6/3 or when you reduce and multiply by x, you get y=2x. Using the slope formula, m= (6-0)/(3-0) which is just m=6/3=2.

      (3 votes)

Slope formula (equation for slope) | Algebra (article) | Khan Academy (2024)

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