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anonymous

  • one year ago

What is the equation of the line that passes through the points (–12, –8) and (–17, –16)? (no image)

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  1. anonymous
    • one year ago
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    you need the slope first do you know how to find it?

  2. anonymous
    • one year ago
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    "no" is a fine answer, i am only asking

  3. anonymous
    • one year ago
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    is it mx+b ?

  4. anonymous
    • one year ago
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    no you need slope, which is \(m\)

  5. anonymous
    • one year ago
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    find it via \[m=\frac{y_2-y_1}{x_2-x_1}\]

  6. anonymous
    • one year ago
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    which in your case is \[m=\frac{-16-(-8)}{-17-(-12)}\]

  7. anonymous
    • one year ago
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    so 8 over 6? which is 4 over 3?

  8. anonymous
    • one year ago
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    i get \(\frac{8}{5}\)

  9. anonymous
    • one year ago
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    next step is \[y-y_1-m(x-x_1)\]

  10. anonymous
    • one year ago
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    you can use either point

  11. anonymous
    • one year ago
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    so I can use 5?

  12. anonymous
    • one year ago
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    \[y+8=\frac{8}{5}(x+12)\]will do

  13. anonymous
    • one year ago
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    no not 5, you have to use \(m=\frac{8}{5}\)

  14. anonymous
    • one year ago
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    ooh okay, I understand

  15. anonymous
    • one year ago
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    then depending on the form you want, you can solve \[y+8=\frac{8}{5}(x+12)\] for \(y\)

  16. anonymous
    • one year ago
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    y= 8 + 12 ..? i think I did that right

  17. anonymous
    • one year ago
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    lets go slow

  18. anonymous
    • one year ago
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    alrighty

  19. anonymous
    • one year ago
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    \[y+8=\frac{8}{5}(x+12)\] as an x and a y in it they are the x and y in your equation \[y=mx+b\]

  20. anonymous
    • one year ago
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    if you want to solve \[y+8=\frac{8}{5}(x+12)\] for \(y\) to get \[y=mx+b\] you need two steps

  21. anonymous
    • one year ago
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    a) distribute the \(\frac{8}{5}\) on the right then b) subtract \(8\) from both sides

  22. anonymous
    • one year ago
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    let me know if you can do that

  23. anonymous
    • one year ago
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    So 12-8 is 4, that's all I got so far

  24. anonymous
    • one year ago
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    again lets back up

  25. anonymous
    • one year ago
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    step one is to distribute on the right i.e. distribute here \[\frac{8}{5}(x+12)\]

  26. anonymous
    • one year ago
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    by the distributive law, \[\frac{8}{5}(x+12)=\frac{8}{5}x+\frac{8}{5}\times 12\]

  27. anonymous
    • one year ago
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    or\[\frac{8}{5}x+\frac{96}{5}\]

  28. anonymous
    • one year ago
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    so now we have \[y+8=\frac{8}{5}x+\frac{96}{5}\] now subtract \(8\)

  29. anonymous
    • one year ago
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    Would I subtract 8 from 96 over 5?

  30. anonymous
    • one year ago
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    \[y=\frac{8}{5}x+\frac{96}{5}-8\] right

  31. anonymous
    • one year ago
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    compute \[\frac{96}{5}-8\]

  32. anonymous
    • one year ago
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    I got 11.2

  33. anonymous
    • one year ago
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    as a decimal yes

  34. anonymous
    • one year ago
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    you want decimal answer you would have \[y=1.6x+11.2\]

  35. anonymous
    • one year ago
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    fraction answer \[y=\frac{8}{5}x+\frac{56}{5}\]

  36. anonymous
    • one year ago
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    you have choices or you just need some answer?

  37. anonymous
    • one year ago
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    I have choices and most of them have 8/5 in them but they also have 8/5 +(17)

  38. triciaal
    • one year ago
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    |dw:1439056005643:dw| I have the same solution carefully read the choices

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