#### Answer

(a) $y=-3x$
(b) slope = -3, y-intercept = 0
(c) Refer to the image below for the graph.

#### Work Step by Step

(a) The slope-intercept form is $y=mx+b$ where m = slope and b = y-intercept.
Subtract $3x$ on both sides to obtain:
$y = -3x$
(b) The equation has $m=-3$ and $b=0$. Thus,
slope = $-3$
y-intercept = $0$
(c) Plot the y-intercept point $(0, 0)$. From $(0, 0)$, move 3 units down (the rise) and 1 unit to the right (the run). These steps lead to the point $(1, -3)$.
Connect the two points using a line to complete the graph.