Answer
(a) $y=-2x+3$
(b) slope = $-2$, y-intercept = $3$
(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 $2x$ on both sides to obtain:
$y=3-2x
\\y=-2x+3$
(b)
The equation has $m=-2$ and $b=3$.
Thus,
slope = $-2$
y-intercept = $3$
(c)
Plot the y-intercept point $(0, 3)$.
From $(0, 3)$, move 2 units down (the rise) and 1 unit to the right (the run). These steps lead to the point $(1, 1)$.
Connect the two points using a line to complete the graph.
