[tex]6x -2y-4 = 0 \\ \\the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\6x -2y-4 = 0 \\ \\-2y =-6x+4\ \ /:(-2)\\ \\y=\frac{-6}{-2}x+\frac{4}{(-2)}\\ \\y=3x-2 \\ \\ the \ slope \ (the multiplier \ of \ x \ represented \ by \ m ) \ is \3\\ \\ and \ the \ y-intercept \ (the constantrepresented \ by \ b \ ) \ is \ -2[/tex]