Perpendicular and Parallel Lines Concepts

This video tutorial covers the concepts of parallel and perpendicular lines. It explains that parallel lines have the same slope but different y-intercepts, while perpendicular lines intersect at a 90-degree angle and have slopes that are negative reciprocals of each other. The tutorial provides examples and equations for both types of lines, demonstrating how to identify and verify them graphically.

What is a key characteristic of parallel lines?

• They intersect at a 90-degree angle.

• They have the same slope but different y-intercepts.

• They have different slopes and the same y-intercept.

• They are always horizontal.

If two lines have the same slope and the same y-intercept, what can be said about them?

• They are neither parallel nor perpendicular.

• They are perpendicular.

• They are the same line.

• They are parallel.

How can you determine if two lines are parallel?

• By checking if they have different slopes and the same y-intercept.

• By checking if they intersect at a right angle.

• By checking if they have the same slope and different y-intercepts.

• By checking if their slopes are negative reciprocals.

What is the slope of a line parallel to y = -2/3x + 2?

• 2/3

• Undefined

• -2/3

• 0

What is a defining feature of perpendicular lines?

• They intersect at a 90-degree angle.

• They have the same slope.

• They have the same y-intercept.

• They never intersect.

If a line has a slope of 3, what is the slope of a line perpendicular to it?

• -3

• 3

• -1/3

• 1/3

How do you find the negative reciprocal of a slope?

• Multiply the slope by -1.

• Flip the fraction and change the sign.

• Subtract 1 from the slope.

• Add 1 to the slope.

What is the slope of a line perpendicular to y = -3x + 2?

• 3

• -1/3

• -3

• 1/3

If two lines have slopes of 4 and -1/4, what is their relationship?

• They are neither parallel nor perpendicular.

• They are parallel.

• They are perpendicular.

• They are the same line.

What can be concluded if two lines have slopes that are negative reciprocals?

• The lines are the same.

• The lines do not intersect.

• The lines are perpendicular.

• The lines are parallel.