esystem \( y=4 x-3 \) and \( y=4 x+3 \)

Did you know that the equations \( y=4x-3 \) and \( y=4x+3 \) represent two parallel lines? Since they have the same slope (which is 4), they will never intersect on a graph, creating a pair of lines that will always maintain the same distance from each other! To visualize this in real life, think of the routing paths for two cars on a busy road; they may be traveling alongside each other, maintaining a steady gap without crossing paths. You can sketch these lines on a graph, and you'll see just how parallelism works in coordinate geometry!