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kenneyfamily Group Title

distance between lines? 6x - 8y = 3 6x - 8y = -5

  • one year ago
  • one year ago

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  1. Hero Group Title
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    Hint: Use the distance formula for lines

    • one year ago
  2. ChmE Group Title
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    \[\large d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]

    • one year ago
  3. ChmE Group Title
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    That is for points

    • one year ago
  4. Hero Group Title
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    There's two ways to do it. You can either use the distance formula for LINES (yes there is such a thing) or you can find the line perpendicular to both given lines since they are parallel.

    • one year ago
  5. Hero Group Title
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    It's just a formula bro. It's nothing to get overly eager and excited about.

    • one year ago
  6. kenneyfamily Group Title
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    ok the question is the distance is 4/5. true or false?

    • one year ago
  7. Hero Group Title
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    The formula is \[ d = \frac{|ax + by + c|}{\sqrt{a^2 + b^2}}\] Where (x,y) is a point on one of the lines and a, b, c are the coefficients of the other line.

    • one year ago
  8. Hero Group Title
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    And I should say that this is specifically the formula for the distance between two PARALLEL lines.

    • one year ago
  9. RadEn Group Title
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    8/10 = 4/5 correct

    • one year ago
  10. Hero Group Title
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    (x,y) = (.5,0) is a point on the first given line. So use a = 6, b = -8, c = 5 for the other one.

    • one year ago
  11. Hero Group Title
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    Are you happy @ChmE ?

    • one year ago
  12. kenneyfamily Group Title
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    how would you non parallel lines? @Hero such as x + y - 1 = 0 and y = -x + 6

    • one year ago
  13. Hero Group Title
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    If the lines are not parallel, then the distance between them would not be consistent.

    • one year ago
  14. Hero Group Title
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    That formula I gave you (as I stated previously) is for PARALLEL lines only

    • one year ago
  15. kenneyfamily Group Title
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    hmm but it is answerable

    • one year ago
  16. Hero Group Title
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    Well, actually, what you just posted are two parallel lines.

    • one year ago
  17. Hero Group Title
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    y = -x + 1 and y = -x + 6

    • one year ago
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