[tex]3x - 2y = 12 \\ 3x - 2y - 3x = 12 - 3x \\ - 2y = 12 - 3x \\ 2y = - (12 - 3x) \\ 2y = 3x - 12 \\ y = \frac{3}{2} x - 6 \\ m = \frac{3}{2 } \\ [/tex]
y intercept = -6
Always express the function in the form of y=mx+c,
where your m is the slope/gradient and c is your y intercept.