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aspenfields

  • 2 years ago

how do i find the slope and y-intercept of the graph 3x – 2y + 8 = 0.

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  1. rizwan_uet
    • 2 years ago
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    separate y on LHS you will get what you want

  2. cozyfire
    • 2 years ago
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    to get the y intercept substitute the values of x with 0

  3. cozyfire
    • 2 years ago
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    to get the slope y=mx+c so you need to transform the equation

  4. cozyfire
    • 2 years ago
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    m is the slope

  5. cozyfire
    • 2 years ago
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    3x-2y+8=0 2y=3x+8 divide the whole equation to 2 u will get y=3/2(x)+4 so the slope is 3/2

  6. aspenfields
    • 2 years ago
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    ok so once i get the y intercept why do i divide it by 2?

  7. amistre64
    • 2 years ago
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    you can go about moving everything around; or, you can just determine the slope and y intercept in 3 moves. 1: y int is the value of y when x=0 2: the slope is the change in y when x changes by 1; so find the value of y when x=1 3: subtract the value when x=0 from the value when x=1 and you have your slope

  8. rizwan_uet
    • 2 years ago
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    as i told you just separate y on LHS you will get y = 3/2x+4 now compare it with y=mx+b to get slope and y-intercept here b= y-intercept and m = slope do it now

  9. aspenfields
    • 2 years ago
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    what does LHS mean?

  10. rizwan_uet
    • 2 years ago
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    left hand side

  11. aspenfields
    • 2 years ago
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    oh ok

  12. rizwan_uet
    • 2 years ago
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    now what you got??

  13. aspenfields
    • 2 years ago
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    im not sure. and where the 8 go?

  14. rizwan_uet
    • 2 years ago
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    3x – 2y + 8 = 0. subtract 8 from both sides what you get???

  15. aspenfields
    • 2 years ago
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    3x-2y=-8?

  16. rizwan_uet
    • 2 years ago
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    exactly

  17. rizwan_uet
    • 2 years ago
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    now subtract 3x from both sides what you get??

  18. aspenfields
    • 2 years ago
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    why substract i thought you you add it? but 2y=-8-3x?

  19. rizwan_uet
    • 2 years ago
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    because 3x on left side has positive sign to cancel it out you have to subtract 3x on both sides

  20. rizwan_uet
    • 2 years ago
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    -2y=-8-3x now divide both sides by -2

  21. aspenfields
    • 2 years ago
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    y=4-3/2x

  22. rizwan_uet
    • 2 years ago
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    no its y = 4+3/2x

  23. aspenfields
    • 2 years ago
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    oh ok is that the asnwer or is there more to it?

  24. rizwan_uet
    • 2 years ago
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    no you have to do one step now you have a general equation for line in slope intercept form that is y = mx+b here m = slope and b = y intercept can you find the slope and y-intercept now from y = 4+3/2x

  25. rizwan_uet
    • 2 years ago
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    just compare

  26. aspenfields
    • 2 years ago
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    ok

  27. rizwan_uet
    • 2 years ago
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    now m =?? b= ???

  28. aspenfields
    • 2 years ago
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    m=3/2, b=4

  29. rizwan_uet
    • 2 years ago
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    exactly

  30. rizwan_uet
    • 2 years ago
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    these are respective values for slope and y-intercept

  31. aspenfields
    • 2 years ago
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    ok and that's it?

  32. rizwan_uet
    • 2 years ago
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    yes

  33. aspenfields
    • 2 years ago
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    thank you now i understand it

  34. rizwan_uet
    • 2 years ago
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    you are welcome

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