Answer
The slope is $\frac{1}{6}$.
Work Step by Step
To find the slope, we want to rewrite this equation in the slope intercept form, which is given by the formula $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
First, we add $4$ to each side of the equation:
$3y = \frac{1}{2}x + 4$
Divide both sides of the equation by $3$. Remember that when we divide by a number, we are actually multiplying by its reciprocal:
$y = \frac{1}{2}x(\frac{1}{3}) + 4(\frac{1}{3})$
Multiply to simplify:
$y = \frac{1}{6}x + \frac{4}{3}$
We now see clearly that the slope $m$ is $\frac{1}{6}$.
