# Thread: Is this right? Graphing an Equation

1. ## 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

2. Originally Posted by BeachLover
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 $y=mx+c$ where $y,x$ are the variables, $m$ is the gradient (slope) and $c$ is the $y$-intercept (where it crosses $y$-axis).

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

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

Both lines are the same, with a gradient of $3$ and a y-intercept of $-2$.

3. AH!!
I see where I messed up.
Thank you so much!!