Are the lines y = 2x + 3 and y = 2x - 4 parallel?

• A. No, they intersect
• B. Yes
• C. Cannot determine
• D. They are the same line

Answer: (B)

Same slope means they go in the same direction. Both lines have slope 2, so they are aligned the same way. Their intercepts are different (3 vs -4), so they don’t lie on top of each other. If you set 2x+3 = 2x-4, the x terms cancel and you get 3 = -4, which is impossible, confirming they never meet. That makes them distinct parallel lines.