Writing Equations of Parallel and Perpendicular Lines

This video tutorial covers the concepts of parallel and perpendicular lines, focusing on how to identify and write their equations. It explains that parallel lines have the same slope and never intersect, while perpendicular lines intersect at right angles with slopes that are opposite reciprocals. The tutorial includes examples and practice problems to reinforce these concepts, guiding viewers through the process of writing equations in slope-intercept form for lines that are parallel or perpendicular to given lines.

What must be true about the slopes of two lines for them to be the same line?

Describe how to find the opposite reciprocal of a slope.

How do you determine if two lines are perpendicular using their slopes?

What is the equation of a line that is perpendicular to a given line with a slope of 2?