3x - 2y + 2 = 0 → -2y + 2 = -3x → -2y = -3x - 2 → y = [tex] \frac{3}{2} [/tex]x + 1
[tex] \frac{3}{2} [/tex]x - y + 3 = 0 → -y + 3 = -[tex] \frac{3}{2} [/tex]x → -y = -[tex] \frac{3}{2} [/tex]x - 3 → y = [tex] \frac{3}{2} [/tex]x + 3
These two equations have the same slope but different y-intercepts so they are parallel lines. (aka inconsistent).
Answer: Inconsistent, (0, 1), (0, 3)
