Answer
slope = $-\frac{1}{3}$
y-intercept = 0
Refer to the image below for the graph.
Work Step by Step
RECALL:
The function $y=mx+b$ or $g(x) = mx+b$ has m = slope and b = y-intercept.
Thus, the given function has:
slope = $-\frac{1}{3}$
y-intercept = $0$
To graph this function, perform the following steps:
(1) Plot the y-intercept point $(0, 0)$.
(2) From the y-intercept, move 1 unit down (the rise) and 3 units to the right (the run). These movements lead to the point $(3, -1)$.
(2) Connect the two points together using a line to complete the graph.
(refer to the attached image in the answer part for the graph)