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 y = 2x - 5 that passes through the point (0, -2). It begins by graphing the original line, identifying the y-intercept and slope. Then, it demonstrates how to find and graph a parallel line using the same slope but a different y-intercept, ensuring it passes through the specified point.

What is the equation of the new line that is parallel to y = 2x - 5 and has a Y intercept of -2?

Explain how to find the coordinates of points on the parallel line after determining its slope.