# 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 $\displaystyle y=mx+c$ 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 $\displaystyle -2$.

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