Understanding Parallel, Perpendicular, and Neither Lines

This video tutorial explains how to determine if two lines are parallel, perpendicular, or neither by examining their slopes. Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals of each other. If the slopes do not meet these criteria, the lines are neither parallel nor perpendicular. The tutorial provides examples and explains the properties of each type of line relationship.

What is the key factor in determining if two lines are parallel, perpendicular, or neither?

• The length of the line

• The x-intercept

• The slope

• The y-intercept

What characteristic do parallel lines share?

• They have the same y-intercept

• They have the same slope

• They have different slopes

• They intersect at a 90-degree angle

If two lines have slopes that are negative reciprocals, what is their relationship?

• They are parallel

• They are perpendicular

• They are neither

• They are identical

What happens when a line is perpendicular to a horizontal line?

• It becomes another horizontal line

• It becomes a diagonal line

• It becomes a vertical line

• It remains unchanged

How do you find the slope of a line perpendicular to another line with a slope of 4/3?

• 4/3

• 3/4

• -3/4

• -4/3

If the slope of one line is 2, what would be the slope of a line perpendicular to it?

• 2

• -1/2

• 1/2

• -2

What is the relationship between two lines if their slopes are not the same and not negative reciprocals?

• They are neither

• They are perpendicular

• They are parallel

• They are identical

If a line has a slope of 6/7, what would be the slope of a line perpendicular to it?

• -7/6

• 7/6

• -6/7

• 6/7

What is the slope of a line parallel to a line with a slope of -3?

• -3

• 1/3

• -1/3

• 3

Which of the following is true about perpendicular lines?

• They have the same y-intercept

• They intersect at right angles

• They have the same slope

• They never intersect