Answer
slope = -1
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.
The given equation can be written as $y=-x + 3$.
This equation has:
slope (m) $=-1$
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 $-1$, so move down one unit (the rise) and move to the right 1 unit (the run) to end up at the point $(1, 2)$.
(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)