Answer:
First, graph -3x + y = 2
y = 3x + 2
Plot (0, 2). From this point, go up 3 units, then right 1 unit, to (1, 5). Plot (1, 5). Then draw a solid line that goes through these two points. Next, determine if the origin satisfies -3x + y ≤ 2:
-3(0) + 0 ≤ 2
0 ≤ 2 (true)
Since the origin satisfies -3x + y ≤ 2, shade the side of y = 3x + 2 that includes the origin.
