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cutie.patootie

  • 2 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!

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

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

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

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

  5. agentx5
    • 2 years ago
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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|

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

  7. agentx5
    • 2 years ago
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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)

  8. cutie.patootie
    • 2 years ago
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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.

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

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

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

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

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

  14. agentx5
    • 2 years ago
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    Visual methods FTW!

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

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

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