Question 289787
Just move the numbers around so that y would be on one side of the equation and everything else would be on the other:

6x - 4y = 12
-4y = -6x + 12
Divide everything by -4:

{{{y = (-6x+12)/-4}}}
This yields:
{{{y = (3/2)x - 3}}}

Which makes m = {{{3/2}}} and b = -3 in y = mx + b form