[tex]6x-2y=6[/tex]
To find the slope of the line, you need to find what y equals first
You must move around the numbers around until you get only y on one side of the equal sign.
[tex]6x-6x-2y=6-6x[/tex]
[tex]-2y=6-6x[/tex]
Then, you "isolate" y from every number
[tex] \frac{-2y}{-2} = \frac{6-6x}{2} [/tex]
Therefore, you have the slope:
[tex]y=3-3x[/tex] or in slope/line formula (y=mx+b)
[tex]y=-3x+3[/tex]
In the slope/line formula: x is the slope so therefore the slope of [tex]6x-2y=6[/tex]
is 3