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ineedhelp10

  • one year ago

for a line with the points (3,3) and (4,k) what are the values of k that would make the slope undefined

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  1. anonymous
    • one year ago
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    Do you know what makes a slope undefined?

  2. ineedhelp10
    • one year ago
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    yeah its when the slope ends up being error

  3. anonymous
    • one year ago
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    It's when the denominator is equal to 0. That is, there is no change in x. A vertical line

  4. anonymous
    • one year ago
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    do you know the equation for the slope of a line given two points?

  5. ineedhelp10
    • one year ago
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    yeah its y2-y1/x2-x1

  6. anonymous
    • one year ago
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    ok so plug in the numbers you have into that equation

  7. anonymous
    • one year ago
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    There is a change in x of 1 unit

  8. anonymous
    • one year ago
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    so there is no y value that can make it undefined

  9. ineedhelp10
    • one year ago
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    okay but what do i set it equal to?

  10. anonymous
    • one year ago
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    (k-3)/(4-3) = (k-3)/1

  11. anonymous
    • one year ago
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    No k value makes the slope undefined

  12. anonymous
    • one year ago
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    Do you see what I mean?

  13. ineedhelp10
    • one year ago
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    would it be k-3?

  14. anonymous
    • one year ago
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    the slope is undefined if x2-x1 = 0, correct?

  15. ineedhelp10
    • one year ago
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    wait would it be all real numbers?

  16. anonymous
    • one year ago
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    no

  17. anonymous
    • one year ago
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    for the slope to be undefined, x2-x1 must equal 0, right?

  18. anonymous
    • one year ago
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    (y2-y1)/(x2-x1) (x2-x1) is the denominator. If (x2-x1) = 0, then the slope is undefined.

  19. anonymous
    • one year ago
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    right?

  20. ineedhelp10
    • one year ago
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    okay so then what?

  21. anonymous
    • one year ago
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    well x2=4 and x1=3 so (x2-x1) = 1 No y value will change that. So the slope cannot be undefined

  22. ineedhelp10
    • one year ago
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    okay so then what would that make the value of k?

  23. anonymous
    • one year ago
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    Are you sure you typed the problem right? It would make more sense if it asked about (3,3) and (k.4)

  24. ineedhelp10
    • one year ago
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    yeah i typed it right

  25. anonymous
    • one year ago
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    changing k won't change the value of the denominator. So there is no value of k that would make the slope undefined.

  26. ineedhelp10
    • one year ago
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    okay you're so sure

  27. anonymous
    • one year ago
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    it's either a trick question or your teacher made a mistake

  28. ineedhelp10
    • one year ago
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    and for the slope to be 0 would it have to be 3

  29. anonymous
    • one year ago
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    correct

  30. ineedhelp10
    • one year ago
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    okay thank you so much!!

  31. anonymous
    • one year ago
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    No problem

  32. ineedhelp10
    • one year ago
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    wait for the undefined would it be all real numbers?

  33. anonymous
    • one year ago
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    That would mean that the slope is always undefined It is never undefined

  34. ineedhelp10
    • one year ago
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    so then what can i say as my final answer?

  35. anonymous
    • one year ago
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    I would say that no value of k makes the slope undefined

  36. ineedhelp10
    • one year ago
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    okay thehn thank you again!!

  37. anonymous
    • one year ago
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    Of course

  38. ineedhelp10
    • one year ago
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    wait what can i say for my explanation lol my bad

  39. ineedhelp10
    • one year ago
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    do you know?

  40. anonymous
    • one year ago
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    There is no value of k that makes the slope undefined.

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