[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