Answer
$\text{slope}=m=\frac{1}{3};
\\\text{y-intercept}=b=2$
Refer to the image below for the graph.
Work Step by Step
RECALL:
The slope-intercept form of a line's equation is:
$y=mx+b$
where $m$ = slope and $b$ = y-intercept
Write the given equation in slope-intercept form by isolating $y$ on one side to obtain:
$-x+3y=6
\\3y = x+6
\\y=\frac{x+6}{3}
\\y = \frac{1}{3}x+2$
The equation above has:
$\text{slope}=m=\frac{1}{3};
\\\text{y-intercept}=b=2$
To graph the line, perform the following steps:
(1) Plot the y-intercept point $(0, 2)$.
(2) Use the slope $\frac{1}{3}$ to find another point on the line.
From $(0, 2)$, move up 1 unit (the rise) and move 3 units to the right (the run) to arrive at the point $(3, 3)$.
(3) Complete the graph by connecting the two points using a straight line.
(refer to the attached image in the answer part above for the graph)