Answer
Slope = $\dfrac{3}{4}$
y-intercept = $-3$
Refer to the image below for the graph.
Work Step by Step
RECALL:
(1) The slope is equal to $\dfrac{rise}{run}$ and may be used to graph a line when one point on the line is known.
(2) The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope and $b$ = y-intercept.
(3) The y-intercept is y-coordinate of the the point on the y-axis where the line passes through.
Transform the given equation to slope-intercept form to obtain:
$3x-4y=12
\\3x-4y-3x=-3x+12
\\-4y=-3x+12
\\\dfrac{-4y}{-4} = \dfrac{-3x+12}{-4}
\\y = \dfrac{3}{4}-3$
This equation has:
slope (m) $=\dfrac{3}{4}$
y-intercept (b) $=-3$.
To draw the graph of this line using the slope and y-intercept, perform the following steps:
(1) Plot the y-intercept point$(0, -3)$.
(2) From point $(0, -3)$, use the slope to locate/plot another point.
The slope is $\dfrac{3}{4}$, so move up three units (the rise) and move to the right 4 units (the run) to end up at the point $(4, 0)$.
(3) Connect the two points using a straight line to complete the graph.
(refer to the attached image in the answer part above for the graph)