(a) slope-intercept form: $y=-3x+4$ (b) slope = $-3$, y-intercept = $4$ (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: $y=4-3x \\y=-3x+4$ (b) The equation has $m=-3$ and $b=4$. Thus, slope = $-3$ y-intercept = $4$ (c) Plot the y-intercept point $(0, 4)$. From $(0, 4)$, move 3 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.