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anonymous

  • one year ago

The equation of a line is 2x-2y=6. What is the slope of the line?

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  1. anonymous
    • one year ago
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    @jim_thompson5910

  2. jim_thompson5910
    • one year ago
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    hint: solve for y

  3. anonymous
    • one year ago
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    y=0?

  4. jim_thompson5910
    • one year ago
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    example: 5x+10y = 20 5x+10y-5x = 20-5x 10y = -5x+20 10y/10 = (-5x+20)/10 y = -1/2x + 2 The slope here is -1/2. This is not the answer as it's just an example

  5. anonymous
    • one year ago
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    -3?

  6. jim_thompson5910
    • one year ago
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    how are you getting that

  7. anonymous
    • one year ago
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    Never mind. That doesn't make since.

  8. jim_thompson5910
    • one year ago
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    |dw:1443501260466:dw|

  9. jim_thompson5910
    • one year ago
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    |dw:1443501277362:dw|

  10. anonymous
    • one year ago
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    I really don't know..

  11. jim_thompson5910
    • one year ago
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    look back at my example `5x+10y = 20` when I solved for y. What was the first thing I did? How did I move the 5x over?

  12. anonymous
    • one year ago
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    I couldn't tell you. Sorry I suck at math.

  13. jim_thompson5910
    • one year ago
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    compare `5x+10y = 20` to `5x+10y-5x = 20-5x` what's different?

  14. anonymous
    • one year ago
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    -?

  15. jim_thompson5910
    • one year ago
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    subtracting what

  16. anonymous
    • one year ago
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    2?

  17. jim_thompson5910
    • one year ago
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    hopefully you see the 5x being subtracted? or no?

  18. anonymous
    • one year ago
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    I do!

  19. jim_thompson5910
    • one year ago
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    ok so go back to the original `2x-2y = 6` what do we do first?

  20. anonymous
    • one year ago
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    Dont know.

  21. jim_thompson5910
    • one year ago
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    maybe it might help to think of it as 0+2x-2y = 6

  22. jim_thompson5910
    • one year ago
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    we have to undo that +2x

  23. anonymous
    • one year ago
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    My laptop is almost dead.. Is there a faster way to find the answer?

  24. jim_thompson5910
    • one year ago
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    we can come back to this later. Don't worry

  25. anonymous
    • one year ago
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    but I need to get this done tonight..

  26. jim_thompson5910
    • one year ago
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    subtract 2x from both sides |dw:1443502454375:dw|

  27. jim_thompson5910
    • one year ago
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    |dw:1443502471573:dw|

  28. anonymous
    • one year ago
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    So the answer won't be negative?

  29. jim_thompson5910
    • one year ago
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    so we now have -2y = -2x+6 we can then divide both sides by -2 to get -2y/(-2) = (-2x+6)/(-2) y = x-3

  30. jim_thompson5910
    • one year ago
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    so 2x - 2y = 6 turns into y = x-3 after we isolate y

  31. jim_thompson5910
    • one year ago
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    compare `y = 1x-3` to `y = mx+b` m = slope b = y-intercept

  32. anonymous
    • one year ago
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    Ok!

  33. anonymous
    • one year ago
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    So is the answer -3?

  34. jim_thompson5910
    • one year ago
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    |dw:1443503045153:dw|

  35. jim_thompson5910
    • one year ago
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    |dw:1443503058099:dw|

  36. jim_thompson5910
    • one year ago
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    |dw:1443503073175:dw|

  37. anonymous
    • one year ago
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    1 is the answer?

  38. jim_thompson5910
    • one year ago
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    yeah the slope is 1

  39. jim_thompson5910
    • one year ago
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    -3 would be the y intercept

  40. jim_thompson5910
    • one year ago
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    |dw:1443503289068:dw|

  41. jim_thompson5910
    • one year ago
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    |dw:1443503297414:dw|

  42. jim_thompson5910
    • one year ago
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    |dw:1443503356103:dw|

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