Properties of Parallel and Perpendicular Lines

This video tutorial covers the concepts of parallel and perpendicular lines. It explains that parallel lines have equal slopes and never intersect, while perpendicular lines intersect at a right angle and have slopes that are opposite reciprocals. The tutorial provides examples of finding equations for lines parallel and perpendicular to a given line, using slope-intercept form and substitution to determine the vertical intercept.

What is a key characteristic of parallel lines?

• They intersect at one point.

• They have different slopes.

• They never intersect.

• They form a right angle.

If two lines are parallel, what can be said about their slopes?

• The slopes are equal.

• The slopes are zero.

• The slopes are undefined.

• The slopes are opposite reciprocals.

What is the slope of a line parallel to the line with equation Y = -2x + 3?

• 1/2

• 2

• -2

• -1/2

What is the vertical intercept of the line parallel to Y = -2x + 3 that passes through the point (8, 3)?

• -2

• 19

• 3

• 8

What is a defining feature of perpendicular lines?

• They have undefined slopes.

• They intersect at a right angle.

• They have equal slopes.

• They never intersect.

What is the relationship between the slopes of perpendicular lines?

• They are equal.

• They are opposite reciprocals.

• They are both zero.

• They are undefined.

If a line has a slope of 2/3, what is the slope of a line perpendicular to it?

• 3/2

• -3/2

• 2/3

• -2/3

What is the opposite reciprocal of a slope of 5?

• -1/5

• 1/5

• -5

• 5

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

• 2

• -1/2

• 1/2

• -2

What is the vertical intercept of the line perpendicular to Y = -2x + 3 that passes through the point (8, 3)?

• 3

• -1

• 1

• 8