Slope-intercept form introduction | Algebra (article) | Khan Academy (2024)

Learn about the slope-intercept form of two-variable linear equations, and how to interpret it to find the slope and y-intercept of their line.

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  • Patrice Abbee

    6 years agoPosted 6 years ago. Direct link to Patrice Abbee's post “What if m=0?”

    What if m=0?

    (57 votes)

    • Admiral Betasin

      6 years agoPosted 6 years ago. Direct link to Admiral Betasin's post “If the slope is 0, is a h...”

      Slope-intercept form introduction | Algebra (article) | Khan Academy (4)

      Slope-intercept form introduction | Algebra (article) | Khan Academy (5)

      Slope-intercept form introduction | Algebra (article) | Khan Academy (6)

      If the slope is 0, is a horizontal line. It makes sense if you think about it. Each time we increase one x, increase y by 0.

      (153 votes)

  • faith reinhold

    5 years agoPosted 5 years ago. Direct link to faith reinhold's post “how do you find the slope...”

    how do you find the slope and intercept on a graph?

    (31 votes)

    • Karra Wallis

      5 years agoPosted 5 years ago. Direct link to Karra Wallis's post “To find the y-intercept, ...”

      Slope-intercept form introduction | Algebra (article) | Khan Academy (10)

      Slope-intercept form introduction | Algebra (article) | Khan Academy (11)

      To find the y-intercept, find where the line hits the y-axis. To find the x-intercept (which wasn't mentioned in the text), find where the line hits the x-axis. To find the slope, find two points on the line then do y2-y1/x2-x1 the numbers are subscripts.
      Hope that helped.

      (45 votes)

  • Varahi

    7 years agoPosted 7 years ago. Direct link to Varahi's post “I dont understand this wh...”

    I dont understand this whole thing at all PLEASE HELP!

    (25 votes)

    • Kim Seidel

      7 years agoPosted 7 years ago. Direct link to Kim Seidel's post “The slope-intercept form ...”

      Slope-intercept form introduction | Algebra (article) | Khan Academy (15)

      Slope-intercept form introduction | Algebra (article) | Khan Academy (16)

      The slope-intercept form of a linear equation is where one side contains just "y". So, it will look like: y = mx + b where "m" and "b" are numbers.
      This form of the equation is very useful. The coefficient of "x" (the "m" value) is the slope of the line. And, the constant (the "b" value) is the y-intercept at (0, b)
      So, if you are given an equation like: y = 2/3 (x) -5
      We can tell that the slope of the line = 2/3 and the y-intercept is at (0, -5)
      Hope this helps.

      (38 votes)

  • Carson Payne

    7 years agoPosted 7 years ago. Direct link to Carson Payne's post “how does an equation resu...”

    how does an equation result to an answer?

    (24 votes)

    • hanco*ckandrewj

      3 years agoPosted 3 years ago. Direct link to hanco*ckandrewj's post “The equation results in h...”

      Slope-intercept form introduction | Algebra (article) | Khan Academy (20)

      The equation results in how to graph the line on a graph. If they give you the x value then you would plug that in and it would tell you the answer in y.

      (11 votes)

  • Henry Mays

    2 years agoPosted 2 years ago. Direct link to Henry Mays's post “Why should I learn this a...”

    Why should I learn this and what can I use this for in the future.

    (16 votes)

    • David Severin

      2 years agoPosted 2 years ago. Direct link to David Severin's post “slopes are all over the p...”

      Slope-intercept form introduction | Algebra (article) | Khan Academy (24)

      slopes are all over the place in the real world, so it depends on what you plan to do in life of how much you use this. Art, building, science, engineering, finance, statistics, etc. all use linear functions.

      (18 votes)

  • Vector Inc.

    4 years agoPosted 4 years ago. Direct link to Vector Inc.'s post “Is it ever possible that ...”

    Is it ever possible that the slope of a linear function can fluctuate? Or is the slope always a fixed value?

    (10 votes)

    • Kim Seidel

      4 years agoPosted 4 years ago. Direct link to Kim Seidel's post “A linear functions create...”

      Slope-intercept form introduction | Algebra (article) | Khan Academy (28)

      A linear functions creates a straight line. So, the slope is always a fixed value. If the slope could fluctuate, then you wouldn't have a straight line graph. The graph would be curved, or V-shaped.

      (14 votes)

  • deepasaji

    a year agoPosted a year ago. Direct link to deepasaji's post “Why is it called algebra?...”

    Why is it called algebra? Is it Greek or something?

    (7 votes)

    • Rose🌹

      a year agoPosted a year ago. Direct link to Rose🌹's post “There is an overview hist...”

      Slope-intercept form introduction | Algebra (article) | Khan Academy (32)

      There is an overview history video in Algebra 1 that explains this better than I can but basically Algebra is a Medieval Latin short hand for the title of the first book explaining these principals.
      It was called "al-mukhtasar fi hisab al-jabr wa al-muqabala", which is Arabic for "the compendium on calculation by restoring and balancing".
      Here's the link to the vid if you want to explore further: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:algebra-overview-history/v/origins-of-algebra
      Hope I answered your question well! Best of luck learning🍀

      (24 votes)

  • kendellnoble2002

    7 years agoPosted 7 years ago. Direct link to kendellnoble2002's post “say you have a problem li...”

    say you have a problem like (3,1) slope= 4/3. how would you work that out

    (3 votes)

    • Rei

      4 years agoPosted 4 years ago. Direct link to Rei's post “Pretty late here, but for...”

      Pretty late here, but for anyone else reading, I'll assume they meant how you find the slope intercept using only these values.

      Since we know the slope is 4/3, we can conclude that: y = 4/3 * x ... But what is the constant, the y axis intercept point?

      You can solve for it by doing: 1 = 4/3 * 3 + c... We know the values for x and y at some point in the line, but we want to know the constant, c. You can solve this algebraically.
      1 = 4/3 * 3 + c
      1 = 4 + c
      1 - 4 = 4 - 4 + c
      -3 = c

      The slope intercept equation is: y = 4/3 * x - 3

      The y axis intercept point is: (0 , -3)

      I just started learning this so if anyone happens across this and spots an error lemme know.

      (8 votes)

  • Karina Rutann

    2 years agoPosted 2 years ago. Direct link to Karina Rutann's post “I am so lost I need help ...”

    I am so lost I need help :((

    (6 votes)

    • David Severin

      2 years agoPosted 2 years ago. Direct link to David Severin's post “The start of the lesson s...”

      The start of the lesson states what you should have some understanding of, so the first question is do you have some understanding of these two concepts?
      "You should know what two-variable linear equations are. Specifically, you should know that the graph of such equations is a line. If this is new to you, check out our intro to two-variable equations.
      You should also be familiar with the following properties of linear equations: y-intercept and x-intercept and slope."
      If these are an issue, you need to go back and review these concepts. If you understand these, then you need to be more specific on where you are struggling. This is just an intro, so it is basically identifying slope and intercept from an equation. Which checks do not make sense?

      (4 votes)

  • Alex

    a year agoPosted a year ago. Direct link to Alex's post “How do I find the x inter...”

    How do I find the x intercept?

    (3 votes)

    • Kim Seidel

      a year agoPosted a year ago. Direct link to Kim Seidel's post “You use y=0 in the equati...”

      You use y=0 in the equation and calculate "x"

      (8 votes)

Slope-intercept form introduction | Algebra (article) | Khan Academy (2024)
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