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.

    (28 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.

      (77 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

    (43 votes)

  • Suzuki

    a year agoPosted a year 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

    (29 votes)

    • 44386

      a year agoPosted a year 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

      (20 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)

  • 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?

    (5 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)

  • 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)

  • 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

    3 years agoPosted 3 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)

    • ('_')

      2 months agoPosted 2 months 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)

  • 😶‍🌫mason

    5 months agoPosted 5 months ago. Direct link to 😶‍🌫mason's post “I know slope formula but ...”

    I know slope formula but this is extremely confusing if anybody got some time it would be dope if you could give me some pointers

    (5 votes)

    • Elijah Ward

      4 months agoPosted 4 months ago. Direct link to Elijah Ward's post “Y=MX+B.Y is Y.M is the ...”

      Y=MX+B.
      Y is Y.
      M is the slope.
      X is X.
      B is a constant.
      B is point on Y where X is 0.

      I hope that helped.

      (2 votes)

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

FAQs

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

The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line.

What is the slope of the line Khan Academy answers? ›

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

How to calculate slope 8th grade? ›

Formula: Slope = The change in y divided by the change in x.

What is the slope answer? ›

Slope Formula

If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by: Slope, m = Change in y-coordinates/Change in x-coordinates. m = (y2 – y1)/(x2 – x1)

What is the slope for dummies? ›

Slope is the ratio of the rise to the run. The rise is the "up distance," and the run is the "across distance" shown in the above figure. To remember this, note that you rise up but you run across, and also that "rise" rhymes with "y's." The slope tells you how steep a line is.

What is the slope formula for Grade 11? ›

The letter' m' usually represents the slope. Hence, the change in y-coordinate concerning the shift in x-coordinate is given by, m = shift in y/shift in x = Δy/Δx (where 'm' represents the slope of the line).

What is the easiest way to find slope? ›

The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line. Created by Sal Khan and Monterey Institute for Technology and Education.

How to explain slope to a child? ›

Slope tells us how steep a line is. It's like measuring how quickly a hill goes up or down. We find the slope by seeing how much we go up or down (vertical change) for each step to the right (horizontal change). If a line goes up 2 steps for every 1 step to the right, its slope is 2.

What grade do you learn y mx b? ›

Build your pedagogical content knowledge for teaching or feedback with these three tips. Eighth grade provides the thrilling opportunity for students to make the leap from proportional relationships, y = mx, to linear ones, y = mx + b. (This equation reveals the slope of the line, m, and the y-intercept, b.)

What is the slope of the line in the graph answer? ›

The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run . You can determine the slope of a line from its graph by looking at the rise and run.

What is the slope of the line that passes through 6 9 and 11 2? ›

The slope of the line that passes through the points (6,9) and (11,2) is (-7/5) and this can be determined by using the point-slope form and slope-intercept form. Given : Line passes through the points (6,9) and (11,2).

What is the slope of a line that passes through the points 2 4 and 6 12? ›

The slope of the line that passes through points (2,4) and (6,12) is 2.

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