Answer
The slope is $m=-\frac{1}{3}$.
The y-intercept is $2$.
Refer to the graph below.
Work Step by Step
Isolate $y$ to obtain
$\frac{1}{3}x+y=2$
$y=-\frac{1}{3}x+2$
In a line's equation in slope-intercept form, which is $y=mx+b$, the constant $b$ is the $y$-intercept while the coefficient of $x$, which is $m$, is the slope.
Thus, in $y=-\frac{1}{3}x+2$ we have:
$y$-intercept is $2$
slope=$m=-\frac{1}{3}$.
Plot the point $(0, 2)$.
The slope is $-\frac{1}{3}$ so from $(0, 2)$, move $3$ units to the right and $1$ unit downward to have $(3, 1)$.
Connect the points using a straight line.
