How do you explain why two graphed lines have the same slopes but different y-intercepts?

Question

A. Not enough information in a given
B. The lines overlap completely.
C. The lines are intersecting
D. The lines are parallel

Answer 1

The correct answer is D. The lines are parallel.

Two lines that have the same slope but different y-intercepts are parallel to each other. This is because the slope determines the angle and steepness of the lines, while the y-intercept indicates where the lines cross the y-axis. Since they share the same slope, they will never intersect, thus remaining parallel.