#### Answer

slope =$-\frac{3}{4}$
y-intercept: $(0, 0)$
Refer to the graph below.

#### Work Step by Step

Solve for $y$:
$4y=-3x
\\\frac{4y}{4}=\frac{-3x}{4}
\\y=-\frac{3}{4}x$
This means that the given equation is equivalent to $y=-\frac{3}{4}x$.
RECALL:
The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept.
Thus, the equation $y=-\frac{3}{4}x$ has a slope of $-\frac{3}{4}$ and a y-intercept of $(0, 0)$.
To graph the equation, perform the following steps:
(1) Plot the y-intercept $(0, 0)$.
(2) Use the slope to plot a second point.
Since the slope is $-\frac{3}{4}$, from $(0, 0)$, move 3 units down (the rise) and 4 units to the right (the run) to reach the point $(4, -3)$. Plot $(4. -3)$.
(3) Connect the points using a straight line.
(Refer to the graph in the answer part above)