Find the equation of a line parallel to a line through a point

The video tutorial explains how to find the equation of a line parallel to a given line using the slope-intercept form. It emphasizes that parallel lines have the same slope and demonstrates how to calculate the new Y-intercept by substituting a given point into the equation. The tutorial concludes with deriving the final equation and encourages viewers to practice the method.

How do you find the new Y-intercept when given a point through which the line passes?

What is the final equation of the line that is parallel and goes through the point (9, 12)?