(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.