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Math Help - slope and intercept

  1. #1
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    Exclamation slope and intercept

    What is the slope and intercept of the following linear equation:
    5(x+3y) - 3x + 2(5-y) = 15

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  2. #2
    Super Member Aryth's Avatar
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    Ok, so we have:

      5(x+3y) - 3x + 2(5-y) = 15

    We must completely expand it and resimplify:

    First, we distribute:

    5x + 15y - 3x + 10 - 2y = 15

    Then we combine like terms:

    2x + 13y + 10 = 15

    Then we move the constant over:

    2x + 13y = 5

    Now, we isolate y:

    13y = 5 - 2x

    y = \frac{5}{13} - \frac{2}{13}x

    This is in slope-intercept form, so we can derive the following from it:

    \text{y-intercept} = (0, \frac{5}{13})

    \text{slope} = -\frac{2}{13}

    There you go.
    Last edited by Aryth; May 13th 2008 at 06:59 AM.
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  3. #3
    A riddle wrapped in an enigma
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    Slope is \frac{-2}{13}
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