Understanding Perpendicular Lines

The video tutorial explains how to determine if two lines are perpendicular by examining their slopes. It introduces the concept of perpendicular lines, calculates the slopes of two lines using given points, and verifies perpendicularity by checking if the slopes are negative reciprocals or if their product is -1. The tutorial concludes with a summary of the methods used to check for perpendicularity.

What does it mean for two lines to be perpendicular?

• They never intersect.

• They intersect at right angles.

• They are parallel.

• They have the same slope.

Which of the following is a method to determine if two lines are perpendicular?

• Check if they have the same y-intercept.

• Check if their slopes are negative reciprocals.

• Check if they are parallel.

• Check if their slopes are equal.

What is the slope formula used to calculate the slope of a line?

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (x1 + x2) / (y1 + y2)

• (y1 + y2) / (x1 + x2)

What is the slope of Line A given the points (-3, 0) and (1, 1)?

• 1/2

• 1/4

• 4

• 2

What is the slope of Line B given the points (2, -5) and (0, 3)?

• -4

• 2

• -2

• 4

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

• Check if the product of the slopes is 1.

• Check if the slopes are equal.

• Check if the slopes are both positive.

• Check if the product of the slopes is -1.

If the slope of one line is 1/4, what should be the slope of a perpendicular line?

• -1/4

• 4

• -4

• 1/4

What is the result of multiplying the slopes of two perpendicular lines?

• 2

• -1

• 1

• 0

Which of the following pairs of slopes indicates perpendicular lines?

• 1/4 and -4

• 2 and 2

• 1/3 and 3

• -1/2 and 2

If two lines have slopes of 1/4 and -4, what can be concluded about the lines?

• They are parallel.

• They are perpendicular.

• They are identical.

• They do not intersect.