Which equation represents a line which is parallel to the line \( y=4 x-3 \) ?

To find a line parallel to \( y = 4x - 3 \), we need to remember that parallel lines have the same slope. Since the slope of the given equation is 4, any line with the same slope will be parallel. Thus, a general equation of the form \( y = 4x + b \), where \( b \) is any real number, represents a family of parallel lines. For example, if we choose \( b = 2 \), then \( y = 4x + 2 \) is a line parallel to \( y = 4x - 3 \). This means you can play around with different \( b \) values and create your parallel line masterpiece! And there you have it; parallel lines are like best friends—they keep the same distance without meeting, both sharing the same slope while shining brightly at their own unique intercepts!