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teller

  • one year ago

A line passes through the point −6, 1 and has a slope of 4 over 3. Write an equation in slope-intercept form for this line.

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  1. anonymous
    • one year ago
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    does "4 over 3" mean \(\frac{4}{3}\)?

  2. teller
    • one year ago
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    Yes..

  3. anonymous
    • one year ago
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    ok use \[y-y_1=m(x-x_1)\] with \[x_1=-6,y_1=1,m=\frac{4}{3}\]

  4. teller
    • one year ago
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    Confused... But I will try it 6-1^1= 4/3(x-x^1) ??

  5. misty1212
    • one year ago
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    HI!!

  6. misty1212
    • one year ago
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    i see you are a bit confused

  7. misty1212
    • one year ago
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    you do know that the answer you are supposed to get has an \(x\) and a \(y\) in it right?

  8. teller
    • one year ago
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    Yes I'm confused and no .That's why I'm asking for help .

  9. misty1212
    • one year ago
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    it should look like \(y=mx+b\) for some \(m\) and \(b\)

  10. misty1212
    • one year ago
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    the \(x\) and \(y\) are variables in this expression \[y-y_1=m(x-x_1)\] they are the \(x\) and \(y\) in the answer the \(m\) and \(x_1,y_1\) are numbers @satellite73 showed you what those numbers are

  11. teller
    • one year ago
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    So y-1=4/3(x-(-6)

  12. misty1212
    • one year ago
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    that looks good

  13. misty1212
    • one year ago
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    \[y-1=\frac{4}{3}(x+6)\] looks even better since \(-(-6)=+6\)

  14. misty1212
    • one year ago
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    you are not done yet though, you still have to solve for \(y\) which takes exactly two steps

  15. teller
    • one year ago
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    So how do I do that?

  16. misty1212
    • one year ago
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    a) distribute the \(\frac{4}{3}\) on the right b) add \(1\) to both sides

  17. misty1212
    • one year ago
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    does that make any sense to you?

  18. teller
    • one year ago
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    y=4/3x+9??

  19. misty1212
    • one year ago
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    yes!

  20. misty1212
    • one year ago
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    \[\color\magenta\heartsuit\]

  21. teller
    • one year ago
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    Mind if you help me with another one?

  22. misty1212
    • one year ago
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    sure and say hi to penn for me

  23. teller
    • one year ago
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    Hello penn?.?.Don't know who that is lol but Hi... A line passes through the point -2, -4 and has a slope of −7 . Write an equation in slope-intercept form for this line.

  24. anonymous
    • one year ago
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    this one is even easier because there is no fraction

  25. anonymous
    • one year ago
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    same as before \[y+4=-7(x+2)\]

  26. misty1212
    • one year ago
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    what @satellite73 said, then you have to solve for \(y\) using the same two steps a) distribute on the right b) subtract 4 from both sides

  27. teller
    • one year ago
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    y=-7x-18??

  28. misty1212
    • one year ago
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    https://www.youtube.com/watch?v=oJhYySXzOq0

  29. misty1212
    • one year ago
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    yeah looks good

  30. teller
    • one year ago
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    A line passes through the point 7, 5 and has a slope of 2 . Write an equation in slope-intercept form for this line. Would it look like this ? y+5=2(x+7)

  31. misty1212
    • one year ago
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    not quite

  32. misty1212
    • one year ago
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    the reason they were plus before was because each number was negative but the formula is \[y-y_1=m(x-x_1)\]

  33. misty1212
    • one year ago
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    so change those plus signs to minus signs

  34. teller
    • one year ago
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    so each time it's a plus it will be a minus and when ever it's a minus it will be a plus?

  35. misty1212
    • one year ago
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    yes

  36. teller
    • one year ago
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    so y-5=2(x+7) or is y-5=2(x-7)

  37. misty1212
    • one year ago
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    second one

  38. teller
    • one year ago
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    so y=2x-9?

  39. misty1212
    • one year ago
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    looks good

  40. teller
    • one year ago
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    A line passes through the point −8, 7 and has a slope of 5/4 . Write an equation in slope-intercept form for this line. y+7=5/4(x+8)

  41. misty1212
    • one year ago
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    not quite there is one mistake in a sign do you see it?

  42. teller
    • one year ago
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    would it be (x-8)??

  43. misty1212
    • one year ago
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    no that part is right

  44. teller
    • one year ago
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    so -7??

  45. misty1212
    • one year ago
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    yes

  46. teller
    • one year ago
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    so y-7=5/4(x+8)

  47. misty1212
    • one year ago
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    at the risk of repeating myself, it is \[\huge y-y_1=m(x-x_1)\] the minus signs are in the formula

  48. misty1212
    • one year ago
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    yeah that is right

  49. teller
    • one year ago
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    y=5/4x+17??

  50. misty1212
    • one year ago
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    yup

  51. teller
    • one year ago
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    it said it was incorrect...

  52. teller
    • one year ago
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    it was minus 17..

  53. misty1212
    • one year ago
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    no it isn't

  54. teller
    • one year ago
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    That's what the problem said and when i hit explain it gave me the answer...

  55. misty1212
    • one year ago
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    \[y-7=\frac{5}{4}(x+8)\\ y=7=\frac{5}{4}x+10\\ y=\frac{5}{4}x+17\]

  56. teller
    • one year ago
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    sometimes i think the thing is rigged ...

  57. misty1212
    • one year ago
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    was the point\((7,-8)\)?

  58. teller
    • one year ago
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    no -8,7

  59. misty1212
    • one year ago
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    yeah sorry that is what i meant

  60. misty1212
    • one year ago
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    if the point is \((-8,7)\) then it should be \(y=\frac{5}{4}x+17\)

  61. misty1212
    • one year ago
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    tell them it is a mistake

  62. teller
    • one year ago
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    A line passes through the point −6, -1and has a slope of −5/2 . Write an equation in slope-intercept form for this line. Would it be y+1=-5/2(x+6)

  63. misty1212
    • one year ago
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    yes

  64. teller
    • one year ago
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    so it would be y=-5/2x-16??

  65. misty1212
    • one year ago
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    hmm lets check

  66. misty1212
    • one year ago
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    \[y+1=-\frac{5}{2}(x+6)\]\[y+1=-\frac{5}{2}x-15\]\[y=-\frac{5}{2}x-16\]

  67. teller
    • one year ago
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    A line passes through the point 6, 1 and has a slope of 2. Write an equation in slope-intercept form for this line. so y-1=2(x-6)?? y=2x-11??

  68. misty1212
    • one year ago
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    yes

  69. teller
    • one year ago
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    One more problem then I will be done with that subject.I greatly appreciate you for helping me ! A line passes through the point 4, -9 and has a slope of −4 .Write an equation in slope-intercept form for this line. y+9=-4(x-4) or is it y+9=-4(x+4)

  70. misty1212
    • one year ago
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    fist one

  71. misty1212
    • one year ago
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    first

  72. teller
    • one year ago
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    so the final answer would be y=-4x+7

  73. misty1212
    • one year ago
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    yes

  74. misty1212
    • one year ago
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    you done with them all?

  75. teller
    • one year ago
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    said I was incorrect...

  76. misty1212
    • one year ago
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    ok lets check

  77. misty1212
    • one year ago
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    A line passes through the point (4, -9) and has a slope of −4 right?

  78. misty1212
    • one year ago
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    \[y+9=-4(x-4)\\ y+9=-4x+16\\ y=-4x+7\]

  79. misty1212
    • one year ago
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    it is right, if that was the question

  80. teller
    • one year ago
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    We are given that the line passes through the point −4, 9 . So, the equation must be true when =x4 and =y−9 . =−9+−44b We can solve this equation for the y -intercept b . −9 =+−44b −9 =+−16b 7 =b We now write the equation of the line in slope-intercept form. =y+−4x7 Here is the answer. =y+−4x7

  81. teller
    • one year ago
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    that's what it said

  82. teller
    • one year ago
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    but thank you for the help..

  83. misty1212
    • one year ago
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    i have read that twice now and it does not make any sense to me

  84. misty1212
    • one year ago
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    what does =y+−4x7 even mean?

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