Answer
The slope is $m=\dfrac{1}{3}$.
The y-intercept is $2$.
The graph is attached below.
Work Step by Step
The slope of the line can be obtained by looking at the coefficient of $x$ in the slope-intercept form $y=mx+b$, where the coefficient of $x$ is the slope.
$-x+3y=6$
$3y=x+6$
$y=\frac{x+6}{3}$
$y=\frac{1}{3}x+2$
Therefore the slope is $m=\frac{1}{3}$.
At the y-intercept the x-coordinate of the point is $x=0$. Therefore we can calculate the y-coordinate by plugging 0 to $x$ in the equation:
$-x+3y=6$
$0+3y=6$
$y=2$
The y-intercept is $2$.
