How to find an equation to a line parallel and through a point

The video tutorial explains how to find the equation of a line parallel to a given line, y = 3x - 3, that passes through a specific point, (4, -10). It highlights the importance of parallel lines having the same slope but different Y intercepts. The tutorial guides viewers through calculating the new Y intercept by substituting the given point into the equation. Finally, it formulates the equation of the parallel line using the same slope and the newly calculated Y intercept.

What does the variable B represent in the context of finding the equation of a line?

Describe how to plug in the coordinates of a point to find the equation of a line.