#### Answer

(a) slope = $-\frac{3}{2}$
(b) Refer to the graph below.

#### Work Step by Step

Solve for $y$ by dividing both sides of the equation by $2$:
$\frac{2y}{2}=\frac{-3x}{2}
\\y = -\frac{3}{2}x$
This means the given equation is equivalent to $y=-\frac{3}{2}x$.
RECALL:
In the linear equation $y=mx + b$, $m$=slope and $(0, b)$ is the y-intercept.
(a) The line $y=-\frac{3}{2}x$ has a slope of $-\frac{3}{2}$ and a y-intercept of $(0, 0)$.
(b) To graph the line, perform the following steps:
(1) Plot the y-intercept $(0, 0)$.
(2) Use the slope to plot another point.
The slope is $-\frac{3}{2}=\frac{-3}{2}$ so there is a 3-unit decrease in the value of $y$ for every 2-unit increase in $x$. From $(0, 0)$, move 3 units down (the rise) and two units to the right (the run) to reach $(2, -3)$. Plot $(2, -3)$.
(3) Complete the graph by connecting the two points using a line.
(Refer to the graph in the answer part above.)