Consider the two equations \( y=2 x+7 \) and \( y=2 x+5 \) Choose the word that best describes the relationship between them. perpendicular parallel neither perpendicular nor parallel

Both equations have the same slope of 2, which means they run in the same direction and will never intersect. This makes them parallel lines! It's like two friends walking side by side, both moving forward but never crossing paths. Interestingly, parallel lines have a constant distance between them, and since they share the same slope, their behavior remains consistently the same across the entire graph. So, these lines are guaranteed to remain buddies in their infinite journey through the coordinate plane!