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anonymous

  • one year ago

Write the equation of the line that passes through (2, 2) and (6, 3) in standard form.

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  1. anonymous
    • one year ago
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    A. 4x + 4y = 6 B. x + 4y = 12 C. 4x + 4y = -12 D. x - 4y = -6

  2. anonymous
    • one year ago
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    @FireKat97

  3. FireKat97
    • one year ago
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    Okay so this time, the only thing thats changed is the fact that you have no longer been given the slope, but remember you can find the slope with m = (y2 - y1)/(x2 - x1) or just rise/run

  4. FireKat97
    • one year ago
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    And from there you can apply the same equation you had used earlier

  5. anonymous
    • one year ago
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    uhh..

  6. carlyleukhardt
    • one year ago
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    Let (2, 2) and (6, 3) be (x1,y1) & (x2,y2) First find the slope m=(y2-y1)/(x2-x1) m=1/4 Then take any pt (2, 2) or (6, 3) (y-y1)=m(x-x1) Then substitute the values of m & x1&y1 x-4y+6=0

  7. FireKat97
    • one year ago
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    okay have you covered the equation m = (y2 - y1)/(x2 - x1)?

  8. anonymous
    • one year ago
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    okay so 3-2=1 and 6-2=4

  9. carlyleukhardt
    • one year ago
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    yes

  10. FireKat97
    • one year ago
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    yup but its (3 - 2)/(6 -2) so m becomes 1/4

  11. anonymous
    • one year ago
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    indeed whats next

  12. FireKat97
    • one year ago
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    and now we have our slope and you can pick either of the two set of coordiantes, and reapply the formula we used in the previous question

  13. FireKat97
    • one year ago
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    yup so in this case (2, 2) looks like the easier coordinate to use (because smaller numbers) so you can sub this and the slop of 1/4 into (y - y1) = m(x - x1)

  14. FireKat97
    • one year ago
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    slope*

  15. anonymous
    • one year ago
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    (y-2) =1/4 (x-2)

  16. FireKat97
    • one year ago
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    yup thats correct!

  17. anonymous
    • one year ago
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    thats not a choice though..

  18. FireKat97
    • one year ago
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    Thats because they don't have fractions in the answer, so we should rearrange our equation

  19. FireKat97
    • one year ago
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    so to get rid of the fraction on the right hand side, we can multiply both sides of the equation by 4 for starters

  20. anonymous
    • one year ago
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    4y-8=x-2

  21. FireKat97
    • one year ago
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    Yup, and now we simplify further by resolving the -8 on the left hand side and -2 on the right

  22. anonymous
    • one year ago
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    4y=x+6

  23. anonymous
    • one year ago
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    4y-x=6

  24. FireKat97
    • one year ago
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    yup thats correct!

  25. anonymous
    • one year ago
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    thats not an answer either :/

  26. FireKat97
    • one year ago
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    Thats because they have multiplied the left and right hand sides by -1, so try that and tell me what you get

  27. anonymous
    • one year ago
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    d

  28. FireKat97
    • one year ago
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    Yup

  29. FireKat97
    • one year ago
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    :D

  30. anonymous
    • one year ago
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    Thank you!!!

  31. FireKat97
    • one year ago
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    No problem :)

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