Identifying Slopes of Parallel and Perpendicular Lines

The video tutorial covers the concepts of parallel and perpendicular lines, focusing on their slopes. It explains how parallel lines have the same slope but different y-intercepts, while perpendicular lines have slopes that are opposite reciprocals. The tutorial also demonstrates how to write equations for lines that are parallel or perpendicular to a given line using both point-slope and slope-intercept forms.

What is the key characteristic of parallel lines?

• They intersect at one point.

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

• They form right angles when they intersect.

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

Which of the following pairs of lines are parallel?

• y = x + 2 and y = -x - 2

• y = 4x - 2 and y = 1/4x + 5

• y = -3x + 1 and y = -3x - 4

• y = 2x + 3 and y = -2x + 3

How can you determine if two lines are perpendicular?

• Their slopes are opposite reciprocals.

• Their y-intercepts are the same.

• Their slopes add up to zero.

• Their slopes are equal.

What is the product of the slopes of two perpendicular lines?

• 2

• -1

• 0

• 1

Which of the following pairs of lines are perpendicular?

• y = 4x + 1 and y = 1/4x - 2

• y = -x + 5 and y = x - 3

• y = 3x - 4 and y = 3x + 2

• y = 2x + 3 and y = -1/2x + 1

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

• -1/3

• 3

• -3

• 1/3

Given the point (2, 4), what is the equation of the line parallel to y = 3x + 2?

• y = 3x + 4

• y = 3x - 2

• y = -3x + 4

• y = -3x - 2

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

• -3/2

• 3/2

• -2/3

• 2/3

Given the point (2, 5), what is the equation of the line perpendicular to y = 2/3x + 2?

• y = -3/2x + 8

• y = 3/2x + 8

• y = -2/3x + 5

• y = 2/3x + 5

What does it mean for two slopes to be opposite reciprocals?

• They are equal.

• They are both positive.

• One is the negative reciprocal of the other.

• They add up to zero.