Math

Graph the equation -1/2x - 2/3y = 3/4
I'm not sure how to do this, can someone walk me through the steps in order to solve this.

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  1. Hello!

    First of all, I want to say that I can't give you a full answer as you may be asking questions off of a test for your online or public school. However, I'll walk you through the steps to solving:

    Step 1: Add 2/3y to both sides
    -1/2x + -2/3y + 2/3y = 3/4 + 2/3y
    -1/2x = 2/3y + 3/4

    Step 2: Divide both sides by -1/2
    -1/2x / -1/2 = 2/3y + 3/4 / -1/2

    X = -8y - 9 / 6

    Step 3: Simplify.
    -8y + -3/2

    Step 4: Graph...

    (The Graph should have an X intercept of -2.6667, and a Y intercept of -1.)

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  2. it's a straight line

    solving for y puts the equation in slope-intercept form ... y = m x + b
    ... makes it easier to graph

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  3. Thank you! I am completing a study guide, but I understand. Thanks again!

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  4. Scott,
    I disagree with your answer. The graph should be a negative slope.

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  5. to Veritas etc.

    "I want to say that I can't give you a full answer as you may be asking questions off of a test for your online or public school"

    you did everything but sharpen the pencil to draw the graph
    ... this is not a full answer??

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  6. I did to the extent of what Jishka will allow me on its forums. I can not GIVE the answer, only the steps leading up to it.

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  7. If my post violates its terms of use then the post will be deleted by a community moderator. I gave something that will help them confirm their answer.

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  8. https://www.wolframalpha.com/input/?i=plot+x%2By+%3D+3,+x+%3D+4%E2%88%92(y%E2%88%921)%5E2

  9. Oh my .....
    -1/2x - 2/3y = 3/4

    multiply each term by -12
    6x + 8y = -9
    8y = -6x - 9
    y = -(2/3)x - 9/8
    so the slope is -2/3 and the y-intercept is -9/8 , sketch this

    or

    from 6x + 8y = -9
    let x = 0, y = -9/8 , appr -1
    let y = 0 , y = -9/6, or -1.5 , sketch this.

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  10. Veritas,

    Reiny's numerical solution is correct

    the total solution that you offered contains an error in Step 2

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