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anonymous

  • one year ago

WILL FAN AND METAL!!! A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2x + 6 y = 2x + 7 y = 2x + 4 y = 1 over 2x + 10

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  1. eyust707
    • one year ago
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    The formula for a line can look like this|dw:1437333815430:dw|

  2. eyust707
    • one year ago
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    The only thing we need to do is figure out what y1, x1 and m is.

  3. anonymous
    • one year ago
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    I do not understand the formula though :/

  4. eyust707
    • one year ago
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    Well if we figure out these three numbers we can plug them in, simplify and we'll have our answer |dw:1437333928564:dw|

  5. anonymous
    • one year ago
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    When you say plug in numbers do you mean guessing them?

  6. eyust707
    • one year ago
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    Nope we need to calculate them based on the two points given. "m" represents the slope of a line. If you are given two points the best way to fin the slope is to calculate "the change in y"/"the change in x"

  7. anonymous
    • one year ago
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    What do you mean by that change in Y and X?? Sorry if I sound clueless :/

  8. eyust707
    • one year ago
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    (2, 8) and (4, 12) are our points. Whenever we see two number in parenthesis separated by a comma this is telling us where a point is located on a graph. the first number tells us how far over to go left and right (your x value). The second number tells us how far to go up and down (your y value). |dw:1437334303980:dw| To get to point (2,8) you would start at the origin go over 2 spaces then up 8. |dw:1437334574867:dw| If you have two points, to get from one to another you also need to go over by a certain amount and up by a certain amount. |dw:1437334702484:dw| In this case, to get from the first point to the second, we have to go over 2 and up 4 See y goes from 8 to 12. 12 - 8 = 4 so change in y is 4 x goes from 2 to 4. 4-2 = 2 so change in x is 2 change in y/ change in x = 4/2 4/2 = 2 so m = 2

  9. anonymous
    • one year ago
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    Sorry I resent that message

  10. anonymous
    • one year ago
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    Okay but It askes me which best represents and equation not the answer

  11. anonymous
    • one year ago
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    asks~

  12. eyust707
    • one year ago
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    Yes yes we are getting there, whats more important however than finding the answer is for you to develop an understanding that way you can find all the rest of the answers by yourself!

  13. eyust707
    • one year ago
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    Do you understand how I got m?

  14. anonymous
    • one year ago
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    You had changed Y and then X=4/2 so then 4/2 equals 2 so M=2

  15. eyust707
    • one year ago
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    awesome! now you know how to find "m" or "slope" if given two points! the only other things we need is y1 and x1 Well thats easy, y1 is the y value of the first point and x1 is the x value of the first point.

  16. eyust707
    • one year ago
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    What is the y value of (2,8) ?

  17. anonymous
    • one year ago
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    Okay so would I divide 4,12 by 2 or something?

  18. anonymous
    • one year ago
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    lol sorry wrong number

  19. eyust707
    • one year ago
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    What is the y value of (2,8) ?

  20. eyust707
    • one year ago
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    *hint* i explained this and gave you the answer earlier in this thread ;)

  21. anonymous
    • one year ago
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    Okay but Idk how you find that?

  22. eyust707
    • one year ago
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    Whenever we see two number in parenthesis separated by a comma this is telling us where a point is located on a graph. the first number tells us how far over to go left and right (your x value). The second number tells us how far to go up and down (your y value).

  23. anonymous
    • one year ago
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    Ohhh Y is 4

  24. eyust707
    • one year ago
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    change in y is 4

  25. eyust707
    • one year ago
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    But the y value of the point (2,8) is simply 8

  26. eyust707
    • one year ago
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    so y1 = 8

  27. anonymous
    • one year ago
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    okay

  28. eyust707
    • one year ago
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    what is the x value of the point (2,8) ?

  29. anonymous
    • one year ago
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    I thought x was 4,12?

  30. anonymous
    • one year ago
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    Wait X is 2

  31. eyust707
    • one year ago
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    correct

  32. eyust707
    • one year ago
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    x1 = 2

  33. anonymous
    • one year ago
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    Okay

  34. eyust707
    • one year ago
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    So if we recall: m=4 y1=8 x1=2

  35. anonymous
    • one year ago
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    :o would this be C?

  36. eyust707
    • one year ago
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    Now all we need to do is put those numbers into this equation: |dw:1437336182607:dw|

  37. anonymous
    • one year ago
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    :/ It is the only one that has 4 in the answer and 2

  38. eyust707
    • one year ago
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    |dw:1437336219281:dw|

  39. anonymous
    • one year ago
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    Because X=2

  40. anonymous
    • one year ago
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    And Y equals 4

  41. eyust707
    • one year ago
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    x1 equals 2

  42. anonymous
    • one year ago
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    So Y=2x+4

  43. eyust707
    • one year ago
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    All you need to do now is simplify this equation|dw:1437336341302:dw|

  44. eyust707
    • one year ago
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    |dw:1437336351506:dw|

  45. eyust707
    • one year ago
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    |dw:1437336364838:dw|

  46. eyust707
    • one year ago
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    Add 8 to both sides and you are done

  47. eyust707
    • one year ago
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    oops im sorry m = 2

  48. anonymous
    • one year ago
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    Wait on the equaton that is represented black?

  49. eyust707
    • one year ago
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    |dw:1437336473127:dw|

  50. eyust707
    • one year ago
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    |dw:1437336518614:dw|

  51. eyust707
    • one year ago
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    add 8 to both sides

  52. eyust707
    • one year ago
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    |dw:1437336564148:dw|

  53. anonymous
    • one year ago
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    So the answer is C

  54. eyust707
    • one year ago
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    yep

  55. anonymous
    • one year ago
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    Yay thank you

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