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Math Help - Am I graphing this equation correctly?

  1. #1
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    Am I graphing this equation correctly?

    Hello everyone!
    I'm not sure if I'm doing this right. My instructions were to "Graph the given equations:"

    \frac{y}{3}-\frac{x}{6} = -2

    I'm using these numbers for x.
    -2, -1, 0, 1, 2

    This is what I've been doing:

    (1) \frac{y}{3}-\frac{-2}{6} = -2

    (2)Use LCD to get rid of fraction? *
    I used: \frac{3}{1} on both sides. then I got:
    y - \frac{-2}{2} = -6

    (3) y - (-1) = -6 *

    (4)Then I added -1 to both sides.
     y = -7

    So that means my first point would be:
    (-2,-7)

    Then when I try to do it when x = -1
    I get y = -2

    With x = -1, I think I mess up on step 4.
    y - \frac{-1}{2} = - 6

    I subtract both sides with \frac{-1}{2}
    And I keep getting y = -2

    Help please and thanks in advance.

    * = Not sure about this step.
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  2. #2
    -1
    e^(i*pi)'s Avatar
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    Quote Originally Posted by Somatic View Post
    Hello everyone!
    I'm not sure if I'm doing this right. My instructions were to "Graph the given equations:"

    \frac{y}{3}-\frac{x}{6} = -2

    I'm using these numbers for x.
    -2, -1, 0, 1, 2

    This is what I've been doing:

    (1) \frac{y}{3}-\frac{-2}{6} = -2

    (2)Use LCD to get rid of fraction? *
    I used: \frac{3}{1} on both sides. then I got:
    y - \frac{-2}{2} = -6

    (3) y - (-1) = -6 *

    (4)Then I added -1 to both sides.
     y = -7

    So that means my first point would be:
    (-2,-7)

    Then when I try to do it when x = -1
    I get y = -2

    With x = -1, I think I mess up on step 4.
    y - \frac{-1}{2} = - 6

    I subtract both sides with \frac{-1}{2}
    And I keep getting y = -2

    Help please and thanks in advance.

    * = Not sure about this step.
    Convert the equation into the form y=mx+c

    <br />
\frac{y}{3}-\frac{x}{6} = -2<br />

    \frac{y}{3} = -2 + \frac{x}{6}

    Multiply by 3:

    y = \frac{x}{2} - 6 = \frac{x-12}{2}

    Now is should be easier to see that f(-1) is -\frac{13}{2} and f(-2) = -7
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