Respuesta :

y = mx + c  

this is the equation of line and here m is the slope

so, 2x-6y =12   can be changed into standard format

y = 2x/6 - 12/6
y=x/3 +(-2)

so, m = 1/3   , so slope will be 1/3

hope it helped :)
y = mx + c  does that help!!!!!!!!!!