When you express the equation of a line in the form [tex] y=mx+q [/tex], the coefficient m is exactly the slope of the line.
So, let's manipulate the equation to fulfill our goal:
[tex] 12 = 4x-6y \iff 6y = 4x-12 \iff y = \dfrac{4}{6}x - 2 \iff y = \dfrac{2}{3}x-2 [/tex]
So, the slope is 2/3
