Explanation:
y = 1/6 x - 1/4
we want to transform it into the form
ax + by = c
so, we find the smallest common multiple of the 2 fraction denominators 6 and 4 : 12
and we multiply both sides by this multiple to eliminate the fractions :
12y = 12/6 x - 12/4 = 2x - 3
then we subtract 2x from both sides to get the x term on the same side as the y term :
12y - 2x = -3
and that's it.