All of these lines are parallel to each other. What do you know about parallel lines and then what do you think makes these lines be parallel on a graph? Write at least 2 detailed sentences.

Answer 1

Parallel lines are defined as lines in the same plane that never intersect and maintain a constant distance apart, regardless of how far they are extended. In the context of a graph, lines can be determined to be parallel if they have the same slope, meaning they change vertically and horizontally at the same rate, resulting in identical angles with the x-axis. This consistent slope ensures that the lines will never meet, regardless of their y-intercepts, thus confirming their parallel nature.