Determining Slopes of Parallel and Perpendicular Lines

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 graphical verifications for both types of lines, helping viewers understand how to identify and work with these lines in mathematical problems.

What is the defining characteristic of parallel lines?

• They intersect at a 90-degree angle.

• They are always horizontal.

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

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

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

• They are perpendicular.

• They are parallel.

• They are neither parallel nor perpendicular.

• They are the same line.

Given the line y = -2/3x + 2, what is the slope of a line parallel to it?

• -2/3

• 2/3

• -3/2

• 3/2

Tags

CCSS.8.EE.B.6

Which of the following pairs of lines are parallel?

• y = 2x - 5 and y = -2x + 5

• y = 2x - 5 and y = 2x + 1

• y = -2x - 5 and y = 2x + 1

• y = 2x - 5 and y = -2x - 1

What is the defining characteristic of perpendicular lines?

• They are always vertical.

• They never intersect.

• They have slopes that are negative reciprocals of each other.

• They have the same slope.

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

• 3

• -1/3

• 1/3

• -3

Tags

CCSS.8.EE.B.6

Given the line y = -3x + 2, what is the slope of a line perpendicular to it?

• -1/3

• 3

• -3

• 1/3

Tags

CCSS.8.EE.B.6

Which of the following pairs of lines are perpendicular?

• y = 4x - 6 and y = -4x + 1

• y = -4x - 6 and y = 1/4x + 1

• y = 4x - 6 and y = 1/4x + 1

• y = 4x - 6 and y = -1/4x + 1

Tags

CCSS.8.EE.B.6

If the slope of one line is 4, what must be the slope of a line perpendicular to it?

• 4

• -1/4

• 1/4

• -4

Tags

CCSS.8.EE.B.5

How can you determine if two lines are neither parallel nor perpendicular?

• Their slopes are equal.

• Their slopes are negative reciprocals.

• Their slopes are neither equal nor negative reciprocals.

• They intersect at a 90-degree angle.

Tags

CCSS.8.EE.B.6