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anonymous

  • one year ago

Determine the standard form of the equation of the line that passes through (9, -4) and (6, 4) Haaaaalp

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  1. misty1212
    • one year ago
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    HI!!

  2. anonymous
    • one year ago
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    Hi!

  3. misty1212
    • one year ago
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    first we need the slope, because no matter what, if you want the equation of a line you need to have the slope do you know how to find ti?

  4. anonymous
    • one year ago
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    that would be -4+4 over 9+4 right?

  5. misty1212
    • one year ago
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    not quite

  6. misty1212
    • one year ago
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    you want to subtract, not add

  7. anonymous
    • one year ago
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    Oh, okay. Hold on Lemme try.

  8. misty1212
    • one year ago
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    kk

  9. anonymous
    • one year ago
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    ok so its -8/5 ??

  10. misty1212
    • one year ago
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    hmm \(9-6=?\)

  11. anonymous
    • one year ago
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    oh dang! I was doing -4. My bad. So it's 4.

  12. misty1212
    • one year ago
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    lets go slow

  13. anonymous
    • one year ago
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    Yes

  14. misty1212
    • one year ago
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    (9, -4) and (6, 4)

  15. misty1212
    • one year ago
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    first we do it the think way, then we do it the math teacher way

  16. anonymous
    • one year ago
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    Okay, it's like the third day of school. My brain doesn't work yet! sorry ahah.

  17. misty1212
    • one year ago
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    from 6 to 9 in the x is right 3 units from 4 to -4 in the y is down 8 units right 3, down 8 slope is \[-\frac{8}{3}\]

  18. anonymous
    • one year ago
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    okay, yes.

  19. misty1212
    • one year ago
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    now the math teacher way \[\frac{y_2-y_1}{x_2-*x_1}=\frac{-4-4}{9-6}=-\frac{8}{3}\] or \[\frac{4-(-4)}{6-9}=\frac{8}{-3}=-\frac{8}{3}\] either way

  20. anonymous
    • one year ago
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    okay, got it.

  21. misty1212
    • one year ago
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    who goes to school in the middle of august?

  22. misty1212
    • one year ago
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    ok no matter, now we have the the slope, and we can use the"point slope" formula because we have two points to choose form

  23. anonymous
    • one year ago
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    Everyone where I'm from starts in August. I know some places in California start later. so y=mx+b?

  24. anonymous
    • one year ago
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    wait, thats not right.

  25. misty1212
    • one year ago
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    no that is the "slope intercept " form we are not there yet

  26. anonymous
    • one year ago
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    y-y1 = m (x-x1)

  27. misty1212
    • one year ago
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    yeah that one

  28. anonymous
    • one year ago
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    Okay so -4 - 4 = -8/3 (9 - 6) ?

  29. misty1212
    • one year ago
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    ooh no

  30. misty1212
    • one year ago
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    the x and y in the formula are the variables you see in the answer only the \(x_1\) and \(y_1\) are numbers (as well as m )

  31. misty1212
    • one year ago
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    you put numbers everywhere

  32. anonymous
    • one year ago
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    oh. gosh ok. y+4= -8/3 (x-9)

  33. misty1212
    • one year ago
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    looks a lot better now

  34. anonymous
    • one year ago
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    subtracting a negative turns it into an addition basically, right?

  35. misty1212
    • one year ago
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    right

  36. misty1212
    • one year ago
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    now you should probably put it in "slope intercept" form aka solve for y

  37. misty1212
    • one year ago
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    you know how to do that? takes the same two steps every time

  38. anonymous
    • one year ago
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    Move the 4 to the other side?

  39. misty1212
    • one year ago
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    no not yet

  40. misty1212
    • one year ago
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    first distribute the \(-\frac{8}{3}\) on the left

  41. anonymous
    • one year ago
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    oh yeah. so I multiply it or add it to the left?

  42. misty1212
    • one year ago
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    multiply

  43. misty1212
    • one year ago
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    \[y+4=-\frac{8}{3}+24\] if my arithmetic is correct

  44. misty1212
    • one year ago
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    then don't "move the 4" subtract 4

  45. misty1212
    • one year ago
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    sorry, typo there i meant \[y+4=-\frac{8}{3}x+24\] i dropped the x by mistake

  46. anonymous
    • one year ago
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    wait, where did 24 come? distributing the slope on the right side?

  47. misty1212
    • one year ago
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    yeah

  48. misty1212
    • one year ago
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    cancel the 3's

  49. misty1212
    • one year ago
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    \[-\frac{8}{3}\times (-9)=3\times 8=24\]

  50. anonymous
    • one year ago
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    Okay, I understand.

  51. misty1212
    • one year ago
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    so now we are at \[y+4=-\frac{8}{3}x+24\] subtract 4 from both sides and you are done

  52. anonymous
    • one year ago
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    y=-8/3x+20

  53. misty1212
    • one year ago
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    yup

  54. misty1212
    • one year ago
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    took a while but i hope it is ok

  55. anonymous
    • one year ago
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    Is that the final answer?

  56. anonymous
    • one year ago
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    Thanks by the way (:

  57. misty1212
    • one year ago
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    yeah it is the "final answer" as they say on tv you are quite welcome \[\color\magenta\heartsuit\]

  58. anonymous
    • one year ago
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    haha, of course! I'll give you a medal.

  59. misty1212
    • one year ago
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    thanks!

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