Answer
$\text{slope}=m=\frac{2}{3};
\\\text{y-intercept}=b=-2$
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:
$2x-3y=6
\\-3y = -2x+6
\\y=\frac{-2x+6}{-3}
\\y = \frac{2}{3}x-2$
The equation above has:
$\text{slope}=m=\frac{2}{3};
\\\text{y-intercept}=b=-2$
To graph the line, perform the following steps:
(1) Plot the y-intercept point $(0, -2)$.
(2) Use the slope $\frac{2}{3}$ to find another point on the line.
From $(0, -2)$, move up 2 units (the rise) and move 3 units to the right (the run) to arrive at the point $(3, 0)$.
(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)