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