Find a line parallel to another line through a given point

The video tutorial explains how to find the equation of a line parallel to a given line. It emphasizes that parallel lines have the same slope but may have different Y-intercepts. The tutorial guides viewers through solving for the Y-intercept using a given point and addresses common mistakes, such as assuming the Y-intercept is the same. It concludes with a brief mention of perpendicular lines having opposite reciprocal slopes.

How do you find the y-intercept of a line given a point on the line?

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What is the new equation of a line that is parallel to y = 3x and passes through the point (3, 2)?

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