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ValentinaT

  • 2 years ago

Help with standard form?

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  1. ValentinaT
    • 2 years ago
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    How would you convert y - (-2) = 4/3(x - 0) to standard form?

  2. iluvlucy
    • 2 years ago
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    One moment

  3. ValentinaT
    • 2 years ago
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    Okay.

  4. iluvlucy
    • 2 years ago
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    So the first thing you must do is put the equation in y=mx+b

  5. iluvlucy
    • 2 years ago
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    Once you do that I'll continue explaining

  6. iluvlucy
    • 2 years ago
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    So you get y=4/3x+2

  7. iluvlucy
    • 2 years ago
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    Now standard form is Ax+By=C

  8. ValentinaT
    • 2 years ago
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    Okay. So you had been simplifying the equation I wrote?

  9. iluvlucy
    • 2 years ago
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    Sorry computer crashed

  10. iluvlucy
    • 2 years ago
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    So now you need to find the A, B, and C

  11. iluvlucy
    • 2 years ago
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    You take t right from the equation

  12. iluvlucy
    • 2 years ago
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    So your A is the number before x (4/3), your B is the number before y (1), and your Cis the remaining number (2)

  13. iluvlucy
    • 2 years ago
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    So you get the equation: 4/3x+y=2

  14. iluvlucy
    • 2 years ago
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    Sorry it took so long I had to use a different computer.

  15. iluvlucy
    • 2 years ago
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    Does that make sense? Any questions?

  16. ValentinaT
    • 2 years ago
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    Okay, thank you. Could you help me with one more thing?

  17. iluvlucy
    • 2 years ago
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    yes

  18. ValentinaT
    • 2 years ago
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    How do you turn that equation into a slope intercept form equation?

  19. iluvlucy
    • 2 years ago
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    The one that's in standard form now?

  20. iluvlucy
    • 2 years ago
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    So from 4/3x+y=2 into standard.... is that what you're asking?

  21. iluvlucy
    • 2 years ago
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    If so, this is what you do:

  22. iluvlucy
    • 2 years ago
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    You pretty much just go backwards

  23. iluvlucy
    • 2 years ago
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    So you first put it into y=mx+b

  24. iluvlucy
    • 2 years ago
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    So you get =4/3x+2

  25. iluvlucy
    • 2 years ago
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    Could you hold on maybe thirty minutes? I gotta go to piano.... I promise I'll answer your question when I get home

  26. ValentinaT
    • 2 years ago
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    Okay, thank you.

  27. iluvlucy
    • 2 years ago
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    I'm back so sorry for the wait

  28. iluvlucy
    • 2 years ago
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    OK so you have y=4/3x+2

  29. iluvlucy
    • 2 years ago
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    subtract 4/3x from both sides

  30. iluvlucy
    • 2 years ago
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    The slope is a fraction so you have to multiply both sides by the denominatior

  31. iluvlucy
    • 2 years ago
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    so multiply each by three

  32. iluvlucy
    • 2 years ago
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    now you have 3y=-4x+6 (finished)

  33. iluvlucy
    • 2 years ago
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    So next you add 4x to both sides

  34. iluvlucy
    • 2 years ago
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    and you're final answer is 4x+3y=6

  35. iluvlucy
    • 2 years ago
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    And for the question before this one I forgot to let you know that in standard form you can't have a fraction, so you simply multiply both sides by the denominator and you'd end up with 4x+3y=6... (4/3x times 3 is 4, 2 times 3 is 6, and of course y times 3 is 3y)

  36. iluvlucy
    • 2 years ago
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    Do you have any questions?

  37. ValentinaT
    • 2 years ago
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    But you said that 4x + 3y = 6 was intercept slope form right?

  38. iluvlucy
    • 2 years ago
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    No, standard.... slope-intercept is y=4/3x+2

  39. ValentinaT
    • 2 years ago
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    Okay, thank you!

  40. iluvlucy
    • 2 years ago
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    No prob! Any more questions or are you good?

  41. ValentinaT
    • 2 years ago
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    Kind of, it's just that for the questions I asked you, I have to show my work, and I'm trying how to write that out.

  42. iluvlucy
    • 2 years ago
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    ok

  43. iluvlucy
    • 2 years ago
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    here:

  44. iluvlucy
    • 2 years ago
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    let me type it out

  45. iluvlucy
    • 2 years ago
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    y-(-2)=4/3(x-0) y+2=4/3(x-0) (0,2) 2=4/3(0)+b 2=0+b 2=b y=4/3x+2 A=4/3 B=1 C=2 4/3x+y=2 (multiply each side by 3) 4x+3y=6

  46. ValentinaT
    • 2 years ago
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    Thank you so much for all your help! If I could give you more than one medal I would. Does this look about right?

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