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Mikeyy1992

  • 2 years ago

Help? Please and thank you! What is the y coordinate of the y−intercept of the line that passes through the points (−3, −1) and (1, 7)?

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  1. OpenSessame
    • 2 years ago
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    -3 -1 1 7|dw:1377494318035:dw|

  2. OpenSessame
    • 2 years ago
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    You have to find the slope of the line!

  3. OpenSessame
    • 2 years ago
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    Slope is...\[\frac{ RISE }{ RUN }\]

  4. Mikeyy1992
    • 2 years ago
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    Lagging is my life.

  5. Mikeyy1992
    • 2 years ago
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    would that be equal to 1/2 for slope? or no?

  6. OpenSessame
    • 2 years ago
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    Right:)

  7. Mikeyy1992
    • 2 years ago
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    Well, what is my question asking for? the y coordinate?

  8. Mikeyy1992
    • 2 years ago
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    Little confused.-.

  9. OpenSessame
    • 2 years ago
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    Yes! To find where the line crosses the Y axes!

  10. Mikeyy1992
    • 2 years ago
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    -2, 0? Random guess. Lol

  11. OpenSessame
    • 2 years ago
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    \[y – y _{1} = m(x – x _{1})\]

  12. OpenSessame
    • 2 years ago
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    Now using that formula I gave you plug in one of the Points that are given and solve for y.

  13. Mikeyy1992
    • 2 years ago
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    -1 + 7 = m(-3 + 1)

  14. Mikeyy1992
    • 2 years ago
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    - 7*

  15. OpenSessame
    • 2 years ago
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    Not exactly...Only use one set of points and plug it into the y and x with a tiny 1...

  16. OpenSessame
    • 2 years ago
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    More like... y+1= M(x+3)

  17. OpenSessame
    • 2 years ago
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    And M means slope so plug that in too!

  18. Mikeyy1992
    • 2 years ago
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    y + 1 = 1/2(x + 3)

  19. OpenSessame
    • 2 years ago
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    Yup, now solve for Y.

  20. Mikeyy1992
    • 2 years ago
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    y = 1/2x + 1/2 ?

  21. OpenSessame
    • 2 years ago
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    Yes:)

  22. OpenSessame
    • 2 years ago
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    This form is call slope intercept form. To find y plug in 0 for X.

  23. Mikeyy1992
    • 2 years ago
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    y = 1/2(0) + 1/2 y = 1/2 ?

  24. OpenSessame
    • 2 years ago
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    (0,1/2)

  25. Mikeyy1992
    • 2 years ago
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    Now, this will be tricky to put in the written response, because fractions turn from 1/2 to 12. Lol. Should I just put 0.5?

  26. OpenSessame
    • 2 years ago
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    Wait...before you write it lets check it...cause something doesnt seem right...

  27. Mikeyy1992
    • 2 years ago
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    I feel like it should be a whole number, my teacher said it should be for these ones.

  28. OpenSessame
    • 2 years ago
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    I think is should be (0,5)...

  29. Mikeyy1992
    • 2 years ago
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    @mathstudent55 Maybe they know if we did anything wrong.

  30. OpenSessame
    • 2 years ago
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    I figured out!

  31. Mikeyy1992
    • 2 years ago
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    @Luigi0210

  32. OpenSessame
    • 2 years ago
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    The slope is 2!

  33. OpenSessame
    • 2 years ago
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    we have to redo that with the slope of 2.

  34. OpenSessame
    • 2 years ago
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    Because its Y/X not X/Y.

  35. Mikeyy1992
    • 2 years ago
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    OpenStudy is lagging for me.

  36. OpenSessame
    • 2 years ago
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    Its okay! it is (0,5)

  37. OpenSessame
    • 2 years ago
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    \[y+1=2(x+3)\]

  38. OpenSessame
    • 2 years ago
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    \[y=2x+5\]

  39. Mikeyy1992
    • 2 years ago
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    @Luigi0210 I really need to know if he's right. I'm so confused.

  40. OpenSessame
    • 2 years ago
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    Sorry for confusing you...:(

  41. OpenSessame
    • 2 years ago
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    http://www.webmath.com/_answer.php Its right, check...

  42. Mikeyy1992
    • 2 years ago
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    Only if OpenStudy was a real person...

  43. Luigi0210
    • 2 years ago
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    So you're just looking for the y-coordinate of the y intercept?

  44. Mikeyy1992
    • 2 years ago
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    Yes.

  45. Luigi0210
    • 2 years ago
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    Well you know that the y-intercept is when x=0 right?

  46. Mikeyy1992
    • 2 years ago
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    Yes, but now I don't even know what the slope is anymore. 1/2 or 2 or 5 lol.

  47. Luigi0210
    • 2 years ago
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    Slope is: \[m=\frac{y2-y1}{x2-x1}\]

  48. Mikeyy1992
    • 2 years ago
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    -3, -1 1, 7

  49. Mikeyy1992
    • 2 years ago
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    -1 - 7 ------ -3 - 1 ?

  50. Luigi0210
    • 2 years ago
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    Just plug them in and solve. and either way works, you get the same answer

  51. Mikeyy1992
    • 2 years ago
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    -8 -- -4 ?

  52. Luigi0210
    • 2 years ago
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    Yup, making the slope 2. Now we plug that information into the point-slope formula: y-y1=m(x-x1)

  53. Luigi0210
    • 2 years ago
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    Open was right so far, except for the slope

  54. Mikeyy1992
    • 2 years ago
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    y - 1 = 2(x - 7) ?

  55. Luigi0210
    • 2 years ago
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    Yea, not just distribute.

  56. Luigi0210
    • 2 years ago
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    *now

  57. Mikeyy1992
    • 2 years ago
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    y = 2x - 13?

  58. Luigi0210
    • 2 years ago
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    Yup!

  59. Mikeyy1992
    • 2 years ago
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    Now what?

  60. Luigi0210
    • 2 years ago
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    Now we find the y-intercept Meaning that we plug in where ever there is an x. This will give us the y value we are looking for.

  61. Luigi0210
    • 2 years ago
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    *0

  62. Mikeyy1992
    • 2 years ago
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    What do we use for x? What number?

  63. Mikeyy1992
    • 2 years ago
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    0 = 2x - 3?

  64. Mikeyy1992
    • 2 years ago
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    -13......let me type please OpenStudy please...

  65. Luigi0210
    • 2 years ago
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    Ah, plug 0 in for x, not y

  66. Mikeyy1992
    • 2 years ago
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    y = 2(0) - 13 y = -13?

  67. Luigi0210
    • 2 years ago
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    Yup, and that's it Mikeyy :)

  68. Mikeyy1992
    • 2 years ago
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    I feel like that would be one weird y-intercept from where the two dots are on a graph..

  69. Luigi0210
    • 2 years ago
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    Your ordered pair is (-13, 0)

  70. Luigi0210
    • 2 years ago
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    *(0, -13)

  71. Mikeyy1992
    • 2 years ago
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    Alright thanks :P

  72. Luigi0210
    • 2 years ago
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    Mikeyy..

  73. Mikeyy1992
    • 2 years ago
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    Yes?

  74. Mikeyy1992
    • 2 years ago
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    Lol. Answer wasn't -13 but I still got a 88. and I have a chance to get a 90 with my written response...

  75. Luigi0210
    • 2 years ago
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    Yes I was about to say that.. sorry buddy :( I just realized that we used the wrong points for the point-slope formula.

  76. Luigi0210
    • 2 years ago
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    The answer was actually (0, 5) and the equation was y=2x+5

  77. Mikeyy1992
    • 2 years ago
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    It's fine. I had to get over a 60 and I did. So, I'm happy. I need to get off OP before it screws me another time. thanks again

  78. Luigi0210
    • 2 years ago
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    Alright, and you're welcome :)

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