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Thread: Is this right? Graphing an Equation

  1. #1
    Newbie BeachLover's Avatar
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    Is this right? Graphing an Equation

    I have a fairly good concept of how to solve for y, at least I think I do.
    I have this equation and I would like to know if I solved it correctly.
    Thank you for any help, I have rarely seen the y like this.

    y-3x= -2 and 6x-2y= 4
    I am supposed to graph these and then determine if they are parallel, intersect, or if they are the same line.

    I have this:

    y=3x-2 and y= -3x-2
    I have determined that they do intersect, and meet at the point (0,-2)
    Is this right?

    Thanks,
    Anna
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  2. #2
    Air
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    Quote Originally Posted by BeachLover View Post
    I have a fairly good concept of how to solve for y, at least I think I do.
    I have this equation and I would like to know if I solved it correctly.
    Thank you for any help, I have rarely seen the y like this.

    y-3x= -2 and 6x-2y= 4
    I am supposed to graph these and then determine if they are parallel, intersect, or if they are the same line.

    I have this:

    y=3x-2 and y= -3x-2
    I have determined that they do intersect, and meet at the point (0,-2)
    Is this right?

    Thanks,
    Anna
    An equation for the linear line is $\displaystyle y=mx+c$ where $\displaystyle y,x$ are the variables, $\displaystyle m$ is the gradient (slope) and $\displaystyle c$ is the $\displaystyle y$-intercept (where it crosses $\displaystyle y$-axis).

    $\displaystyle y-3x=-2$
    $\displaystyle y = 3x-2$ Which is the solution that you got.

    $\displaystyle 6x-2y= 4$
    $\displaystyle -2y=4-6x$
    $\displaystyle y=3x-2$ You had a sign error here.

    Both lines are the same, with a gradient of $\displaystyle 3$ and a y-intercept of $\displaystyle -2$.
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  3. #3
    Newbie BeachLover's Avatar
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    Willow Spring
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    AH!!
    I see where I messed up.
    Thank you so much!!
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