How to write the equation of a line parallel to another through a point

The video tutorial explains how to graph a line parallel to a given line using the equation Y = MX + B. It demonstrates graphing the original line, identifying the slope, and finding the new Y-intercept by substituting a given point into the equation. The tutorial concludes with the final equation of the parallel line.

Why is it important for parallel lines to have the same slope?

What is the equation of the new line that is parallel to Y = -3/5X - 3 and goes through the point (5, -1)?