Writing slope-intercept equations (article) | Khan Academy (2024)

Learn how to find the slope-intercept equation of a line from two points on that line.

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  • Alexis

    4 years agoPosted 4 years ago. Direct link to Alexis's post “I think I may need to giv...”

    I think I may need to give up and be a farmer because this is to hard

    (269 votes)

    • pdinthekr

      3 years agoPosted 3 years ago. Direct link to pdinthekr's post “Alexis, I am in my 40's r...”

      Writing slope-intercept equations (article) | Khan Academy (4)

      Writing slope-intercept equations (article) | Khan Academy (5)

      Writing slope-intercept equations (article) | Khan Academy (6)

      Alexis, I am in my 40's relearning this. Don't give up. Plus, farmers use TONs (TONNES, depending on where you live) of maths. Keep practicing, every wrong answer is still learning.

      (164 votes)

  • Daniel494

    7 years agoPosted 7 years ago. Direct link to Daniel494's post “everything about what we ...”

    everything about what we are learning I don't understand

    (62 votes)

  • ಥ_ಥ NickT

    2 years agoPosted 2 years ago. Direct link to ಥ_ಥ NickT's post “no way that this makes a ...”

    no way that this makes a single drop of sense

    (35 votes)

    • :|

      a year agoPosted a year ago. Direct link to :|'s post “The first step (Finding t...”

      The first step (Finding the slope) isn't all that difficult. You just need to subtract while remembering which numbers go where.
      But when finding the y intercept.. I'm completely lost lol.

      (8 votes)

  • crosshillary

    6 years agoPosted 6 years ago. Direct link to crosshillary's post “What is the rule with dec...”

    What is the rule with deciding which point value gets subtracted from the other?

    (23 votes)

    • Jerry Nilsson

      6 years agoPosted 6 years ago. Direct link to Jerry Nilsson's post “It doesn't matter. The on...”

      Writing slope-intercept equations (article) | Khan Academy (18)

      It doesn't matter. The only difference is that there's a sign change, but since this happens both for 𝛥𝑦 as for 𝛥𝑥 these changes cancel out when we divide the two (𝛥𝑦∕𝛥𝑥).

      𝛥𝑦 = 𝑦₂ − 𝑦₁ = −(𝑦₁ − 𝑦₂)
      𝛥𝑥 = 𝑥₂ − 𝑥₁ = −(𝑥₁ − 𝑥₂)

      𝛥𝑦∕𝛥𝑥 = (𝑦₂ − 𝑦₁)∕(𝑥₂ − 𝑥₁) = −(𝑦₁ − 𝑦₂)∕(−(𝑥₁ − 𝑥₂)) = (𝑦₁ − 𝑦₂)∕(𝑥₁ − 𝑥₂)

      (24 votes)

  • 4 years agoPosted 4 years ago. Direct link to KAITLYNL's post “Bruh this is hard to do. ...”

    Bruh this is hard to do. I still dont undertand

    (33 votes)

    • Han Maslowski

      5 months agoPosted 5 months ago. Direct link to Han Maslowski's post “If you need help, just wa...”

      If you need help, just watch the videos or look up the answers on Google. If you don't understand the videos, Khan Academy will try their best to improve their videos and their website.

      (4 votes)

  • TheQueen(ayla)

    a year agoPosted a year ago. Direct link to TheQueen(ayla)'s post “my head hurts”

    my head hurts

    (26 votes)

    • Kyle

      10 months agoPosted 10 months ago. Direct link to Kyle's post “fr like im just gonna be ...”

      Writing slope-intercept equations (article) | Khan Academy (25)

      fr like im just gonna be physical therapist so i dont have to do math

      (13 votes)

  • Anna

    8 years agoPosted 8 years ago. Direct link to Anna's post “On number 4, why would b=...”

    On number 4, why would b=17?

    (21 votes)

    • Diya

      6 years agoPosted 6 years ago. Direct link to Diya's post “This is the process they ...”

      Writing slope-intercept equations (article) | Khan Academy (29)

      This is the process they show you:
      y =−4x+b
      9 =−4⋅2+b
      9 =−8+b
      17=b
      ----------
      In THIS ("9 =−8+b") step they are subtracting -8 from 9 which looks like this: 9-(-8). We know that two negative operations make a positive sum, which is why the answer is 17 : 9-(-8) = 17.

      (15 votes)

  • lylah amaya

    4 years agoPosted 4 years ago. Direct link to lylah amaya's post “bro why does hurt my brai...”

    bro why does hurt my brain
    like i did fine on my Quiz

    (18 votes)

  • tmukono1

    6 years agoPosted 6 years ago. Direct link to tmukono1's post “how do you change 7x+3y=3...”

    how do you change 7x+3y=3 into slope intercept form

    (7 votes)

    • Admiral Betasin

      6 years agoPosted 6 years ago. Direct link to Admiral Betasin's post “For something to be in sl...”

      Writing slope-intercept equations (article) | Khan Academy (35)

      For something to be in slope-intercept for, y needs to be isolated on one side of the equation.
      Here's how you'd do that:

      7x + 3y = 3

      Subtract 7x from both sides:
      7x + 3y - 7x = 3 - 7x

      Simplify:
      3y = 3 - 7x

      Now, divide both sides by 3:
      3y/3 = 3/3 - 7x/3

      Simplify:
      y = 1 - (7/3)x

      Usually, we have the intercept (in this case 1) on the right side, so simply move it:
      y = -(7/3)x + 1

      (20 votes)

  • Sarah

    a year agoPosted a year ago. Direct link to Sarah's post “Hi everyone! I know these...”

    Hi everyone! I know these things are more challenging for some people than others, but if you study the whole unit it'll be way easier. I was looking at the questions, and many are about things that Sal explains extensively. So just a tip, finish the whole unit, thoroughly read the articles, and really pay attention to the videos. Also, remember you can always head back to previous chapters to review anything unclear. Of course, if you still have doubts after all of this, then the question section is a great way to figure things out. I hope this helps you! And I genuinely don't intend for this to sound rude. Thank you for reading! And I apologize if you take this wrong in any way.

    (11 votes)

Writing slope-intercept equations (article) | Khan Academy (2024)
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