Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

cutie.patootie

  • 3 years ago

More help? Type the equation of the given line in standard form. The line with m = 4 and intersecting 2x -4y = 8 at x = 6. Thanks!

  • This Question is Closed
  1. agentx5
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Step #1: convert "2x -4y = 8" to y=mx+b Step #2...

  2. cutie.patootie
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So that would make it -4y=2x+8?

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

    Or do I have to put the m in there to and make it -4y=8x+8?

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

    you want y not -4y so you should simplify

  5. agentx5
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Move the 2x over to the other side (with subtraction), divide both sides by -4. Can you write this second step @cutie.patootie ? :-) You'll end up getting a y=mx+b form line that allows to to draw this: |dw:1343071328047:dw|

  6. cutie.patootie
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -4y=2x+8 turns into.. -4y-2x=8 divide by -4 gives you.. y+(1/2)x=2 Right?

  7. agentx5
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    No... unless you wrote it incorrect at the start. -4y + 2x = 8? Move the x's over -4y = -2x + 8 Divide by -4 y = 0.5 x - 2 (see graph above)

  8. cutie.patootie
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh well I had it right, but then I moved the x to the wrong side. But I see where I made my mistake now.

  9. agentx5
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    then it tells you there is some other line with: y = 4x + b , because it says "m = 4" An "intersection of two lines" means when they are equal to each other. If you've solved both for the dependent varible (y) that means you can set the y's equal to each other: \(y_1 = y_2\) we know: \(y_1 = \frac{1}{2}x - 2\) \(y_2 = 4x + b_2\) So... \(y_1 = y_2\) \(\frac{1}{2}x - 2 = 4x + b_2\) Make sense? The final steps are substitute in "x=6", solve for \(b_2\), and rewrite \(y_2\)

  10. cutie.patootie
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, so you get... (1/2)(6) - 2 = 4(6) +b2 3-2=24+b2 1=24+b2 b2= -23?

  11. agentx5
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You're correct! |dw:1343072679957:dw|

  12. agentx5
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    When x = 6, they are both equal.

  13. agentx5
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Now don't forget to rewrite \(y_2=4x-23\) in standard form :-) All good?

  14. agentx5
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Visual methods FTW!

  15. cutie.patootie
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, I think I follow. So I write it y + 4x = -23?

  16. cutie.patootie
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    And yes! Hahaha.

  17. 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