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cutie.patootie Group Title

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!

  • 2 years ago
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  1. agentx5 Group Title
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    Step #1: convert "2x -4y = 8" to y=mx+b Step #2...

    • 2 years ago
  2. cutie.patootie Group Title
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    So that would make it -4y=2x+8?

    • 2 years ago
  3. cutie.patootie Group Title
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    Or do I have to put the m in there to and make it -4y=8x+8?

    • 2 years ago
  4. jazy Group Title
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    you want y not -4y so you should simplify

    • 2 years ago
  5. agentx5 Group Title
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    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|

    • 2 years ago
  6. cutie.patootie Group Title
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    -4y=2x+8 turns into.. -4y-2x=8 divide by -4 gives you.. y+(1/2)x=2 Right?

    • 2 years ago
  7. agentx5 Group Title
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    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)

    • 2 years ago
  8. cutie.patootie Group Title
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    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.

    • 2 years ago
  9. agentx5 Group Title
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    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 \(y_2\)

    • 2 years ago
  10. cutie.patootie Group Title
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    Okay, so you get... (1/2)(6) - 2 = 4(6) +b2 3-2=24+b2 1=24+b2 b2= -23?

    • 2 years ago
  11. agentx5 Group Title
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    You're correct! |dw:1343072679957:dw|

    • 2 years ago
  12. agentx5 Group Title
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    When x = 6, they are both equal.

    • 2 years ago
  13. agentx5 Group Title
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    Now don't forget to rewrite \(y_2=4x-23\) in standard form :-) All good?

    • 2 years ago
  14. agentx5 Group Title
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    Visual methods FTW!

    • 2 years ago
  15. cutie.patootie Group Title
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    Okay, I think I follow. So I write it y + 4x = -23?

    • 2 years ago
  16. cutie.patootie Group Title
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    And yes! Hahaha.

    • 2 years ago
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