What is the slope of the line parallel to the line $3x-6y=4$?

Parallel lines have identical slopes. Let's find the slope of the given line by converting it into the slope-intercept form ($y=mx+c$):
$$3x-6y=4$$
$$-6y=-3x+4$$
$$y=\frac{-3}{-6}x+\frac{4}{-6}$$
$$y=\frac{1}{2}x-\frac{2}{3}$$
Here, the slope ($m$) of the line is $\frac{1}{2}$.Since the required line is parallel to this line, its slope will also be $\frac{1}{2}$.