A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

find an equation for the line with the points 3,-7 and -6,9 in the general form Ax+By=C

  • This Question is Closed
  1. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    help

  2. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Did you find the slope of the line?

  3. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no

  4. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That would be the first step. Do you know how to find the slope?

  5. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah

  6. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok. Do it and tell me what you get.

  7. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -16/9

  8. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That's what I got.

  9. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now pick one of the points. Which one do you choose?

  10. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3,-7

  11. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y-y _{1}=m(x-x _{1})\]

  12. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Put -7 in place of y1. Put -16/9 in place of m and put 3 in place of x1

  13. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y-(-7)=-\frac{16}{9}(x-3)\] \[y+7=\frac{-16}{9}x+\frac{16}{3}\] \[y=\frac{-16}{9}x-\frac{5}{3}\]

  14. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Is that what you got?

  15. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no, if you minus 7, u have to minus it from both sides

  16. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that , and its not in the form Ax+By=C

  17. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Whoops. I forgot about that part. Let's rearrange it.

  18. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the actual answer is 16x+9y=-15, but i dont know how to get there

  19. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y=\frac{-16}{9}x-\frac{5}{3}\] Multiply both sides by 9 to clear the fractions

  20. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[9(y)=9(\frac{-16}{9})x-9(\frac{-5}{3})\]

  21. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[9y=-16x+15\]

  22. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Correction: 9y=-16x-15

  23. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    16x+9y=-15

  24. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how did you get 5-3?

  25. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i mean 5/3

  26. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    16/3-7

  27. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y+7=\frac{-16}{9}x+\frac{16}{3}\]

  28. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    subtract 7 from both sides in that equation.

  29. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    16/3-7=-5/3

  30. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so u use point slope form to find b, then rearange to fit Ax+By=c?

  31. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes. or you could use slope-intercept form if you prefer.

  32. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how would slope intercept work

  33. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y=mx+b\] \[7=\frac{-16}{9}(3)+b\]

  34. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Make the 7 negative.

  35. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[-7=\frac{-16}{3}+b\]

  36. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Add 16/3 to both sides.

  37. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{-5}{3}=b\]

  38. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y=\frac{-16}{9}x-\frac{5}{3}\]

  39. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you understand?

  40. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    awsome, thank you

  41. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yw. Now practice some more problems so you can fix it in your mind.

  42. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.