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1honey

  • 3 years ago

write an equation of the line containing the given point and parallel to the given line. (-5,3); 9x=2y+3

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  1. btm2011
    • 3 years ago
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    parallel lines have same slope so y=mx+b then use point and slope to find b

  2. btm2011
    • 3 years ago
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    9x-3=2y y=9/2 x - 3/2 so slope is 9/2

  3. btm2011
    • 3 years ago
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    plug in 9/2 and -5 for x and 3 for y and solve for b

  4. btm2011
    • 3 years ago
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    are you following me

  5. 1honey
    • 3 years ago
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    yes

  6. 1honey
    • 3 years ago
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    after i plug it in than what is next

  7. btm2011
    • 3 years ago
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    what did you get for b

  8. btm2011
    • 3 years ago
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    b=51/2 so 3=-45/2 + b add -45/2 to both sides and change 3 to 6/2 so you can add 45/2 y=9/2 x +51/2

  9. 1honey
    • 3 years ago
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    thank you

  10. btm2011
    • 3 years ago
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    welcome...fan me

  11. 1honey
    • 3 years ago
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    I'm new to the site how do I do that

  12. btm2011
    • 3 years ago
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    click "Become a fan" in blue beside my name

  13. btm2011
    • 3 years ago
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    I'm new too so welcome

  14. btm2011
    • 3 years ago
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    do you have any more questions

  15. 1honey
    • 3 years ago
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    yes

  16. 1honey
    • 3 years ago
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    (7,9); 2x+y=3

  17. btm2011
    • 3 years ago
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    checking to see if it is a solution?

  18. btm2011
    • 3 years ago
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    2(7) + 9 = 3 14+ 9 = 3 NOOOO so not a solution

  19. 1honey
    • 3 years ago
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    write an equation of the line containing the given point and parallel to the given line (5,-5); 4x+3y=7

  20. btm2011
    • 3 years ago
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    transform to y=mx+b by subtracting 4x from bot h sides then divide both sides by 3 to get y =

  21. btm2011
    • 3 years ago
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    do that first and tell me what you get

  22. 1honey
    • 3 years ago
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    ok

  23. 1honey
    • 3 years ago
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    would it b 12

  24. btm2011
    • 3 years ago
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    y=-4/3x + 7/3 now plug in (-5,5) and slope = -4/3 into y=mx+b and solve for b

  25. btm2011
    • 3 years ago
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    (5, -5) sorry

  26. btm2011
    • 3 years ago
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    -5=-4/3(5) + b

  27. btm2011
    • 3 years ago
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    (5, -5) sorry

  28. btm2011
    • 3 years ago
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    -5=(-4/3)(5)+b

  29. btm2011
    • 3 years ago
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    -5=-20/3 +b add 20/3 so 5 which is 15/3+20/3=35/3

  30. btm2011
    • 3 years ago
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    -15/3 + 20/3 = 5/3

  31. btm2011
    • 3 years ago
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    b=5/3 same slope of -4/3 so y=-4/3x +5/3

  32. btm2011
    • 3 years ago
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    got it

  33. 1honey
    • 3 years ago
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    no

  34. btm2011
    • 3 years ago
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    what is wrong

  35. btm2011
    • 3 years ago
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    do you need me to put it all together in one post

  36. 1honey
    • 3 years ago
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    please

  37. btm2011
    • 3 years ago
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    4x+3y=7 solve for y -4x -4x 3y=7-4x or 3y=-4x+7 ---------- 3 y=-4/3 x + 7/3 so slope is -4/3 parallel lines have same slope so use m=-4/3 and (5, -5) and plug into slope-intercept form to find "b"-y intercept y=mx+b -5=-4/3(5)+b -5=-20/3 + b +20/3 +20/3 -15/3 + 20/3 = b 5/3= b so y=-4/3x + 5/3

  38. btm2011
    • 3 years ago
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    got it now?

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