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anonymous

  • one year ago

find the slope of the line described by x-3y=-6

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  1. Nnesha
    • one year ago
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    rewrite that equation into `slope-intercept` form \[\huge\rm y=mx+b\] ^^slope intercept form where m is slope b is y-intercept can you solve that equation for y ?

  2. anonymous
    • one year ago
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    3y=x+6

  3. Nnesha
    • one year ago
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    ahh nice! 3 is still at left side :=)

  4. anonymous
    • one year ago
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    x+6=3y

  5. Nnesha
    • one year ago
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    hmm same thing how would you cancel out the 3 from right side ?

  6. anonymous
    • one year ago
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    subtract x

  7. anonymous
    • one year ago
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    from both sides

  8. phi
    • one year ago
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    notice you have 3 times y to "undo" the times, think "divide"

  9. anonymous
    • one year ago
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    3y divided by 6

  10. Nnesha
    • one year ago
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    you already moved x to the right side \[\huge\rm 3y=x+6\] it's `3 times y` opposite of multiplication is division so divide by 3

  11. anonymous
    • one year ago
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    so 3 divided by 6 is 2

  12. Nnesha
    • one year ago
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    we have to solve for y so just divide both sides by 3

  13. Nnesha
    • one year ago
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    \[\huge\rm \frac{ 3y }{ 3 } =\frac{ x+6}{ 3}\]

  14. anonymous
    • one year ago
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    x divided by 3 is 0

  15. Nnesha
    • one year ago
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    (x+6)/3 is same as \[\frac{ 1 }{ 3 }x +\frac{ 6 }{ 3 }\]

  16. Nnesha
    • one year ago
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    x divide by 3 is zero ? how ?

  17. Nnesha
    • one year ago
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    there is invisible one \[\huge\rm \frac{ 3y }{ 3 } =\frac{ 1x+6}{ 3}\]

  18. Nnesha
    • one year ago
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    so you are saying 1/3x = 0 nope.

  19. anonymous
    • one year ago
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    i thought x was 0 thats why

  20. anonymous
    • one year ago
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    i forgot that x equals one

  21. anonymous
    • one year ago
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    so the slope is 1/3

  22. Nnesha
    • one year ago
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    no x is just a variable remember we need the equation in slope intercept form \[\huge\rm y=mx+b\]

  23. Nnesha
    • one year ago
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    yes right so what's the y-intercept ?

  24. Nnesha
    • one year ago
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    |dw:1440788720690:dw|

  25. anonymous
    • one year ago
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    the y intercept is 3

  26. Nnesha
    • one year ago
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    \[\huge\rm y=\frac{ 1 }{ 3 }x +\frac{ 6 }{ 3 }\] divide 6/3 = ?

  27. anonymous
    • one year ago
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    2

  28. anonymous
    • one year ago
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    and is the x intercept 0

  29. Nnesha
    • one year ago
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    y-intercept is 2 right x-intercept when line cross x-axis and y=0 so to find x-intercept substitute y for 0 solve for x

  30. Nnesha
    • one year ago
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    \[\huge\rm 0=\frac{ 1 }{ 3 }+2\](replaced y for 0) solve for x to find x-intercept

  31. anonymous
    • one year ago
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    the slope is 1/3X

  32. Nnesha
    • one year ago
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    y=mx + b in this equation `m` not `mx`

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