Write the equation of a line parallel to another through a point

The video tutorial explains how to write the equation of a line in slope-intercept form, focusing on lines parallel to a given line. It covers the properties of parallel lines, emphasizing that they share the same slope. The tutorial demonstrates how to find the y-intercept by substituting a given point into the equation. The final equation is presented, and the instructor addresses any questions.

What is the slope of the line that is parallel to the equation y = 3x - 2?

Why is it important that parallel lines have the same slope?

How do you determine the y-intercept when writing the equation of a line?

Explain the process of finding the equation of a line given a point and a slope.

What is the final equation of the line that is parallel to y = 3x - 2 and goes through the point (-2, 12)?