Slope Relationships and Line Equations

The video tutorial explores the characteristics of slopes in linear functions, focusing on parallel and perpendicular lines. It explains that parallel lines have equal slopes, while perpendicular lines have slopes that are opposite reciprocals. The tutorial includes examples of calculating slopes from given points and writing equations for lines parallel or perpendicular to a given line.

What is the primary characteristic of the slopes of parallel lines?

• They are always zero.

• They are negative reciprocals.

• They are equal.

• They are always positive.

If two lines are vertical, what can be said about their relationship?

• They are perpendicular.

• They are parallel.

• They intersect at a right angle.

• They have different slopes.

How do you determine if two non-vertical lines are parallel?

• Their slopes are equal.

• Their slopes are negative reciprocals.

• Their slopes multiply to zero.

• Their slopes are both positive.

What is the slope of a line passing through points (3, 6) and (6, 7)?

• 1

• 3

• 1/3

• 2

Which of the following is the equation of a line parallel to y = 4x + 7?

• y = 4x + 1

• y = 2x + 7

• y = -4x + 7

• y = 4x - 3

What is the slope of a line perpendicular to a line with slope 2?

• 2

• -2

• 1/2

• -1/2

If the product of the slopes of two lines is -1, what is their relationship?

• They are coincident.

• They are perpendicular.

• They are skew.

• They are parallel.

What is the slope of a line passing through points (-3, -23) and (1, 4)?

• 4

• -4

• -1/4

• 1/4

Which of the following is the equation of a line perpendicular to y = -2x - 8?

• y = 2x + 4

• y = -2x + 4

• y = -1/2x + 4

• y = 1/2x + 4