Understanding Lines and Slopes

This video tutorial explains the concepts of parallel and perpendicular lines, focusing on their properties and how to determine if two lines are parallel or perpendicular. It covers the conditions for parallel lines, such as having the same slope but different y-intercepts, and for perpendicular lines, where the slopes are negative reciprocals. The video includes examples to illustrate these concepts and demonstrates how to find the equations of lines that are either parallel or perpendicular to a given line.

What is the condition for two lines to be parallel?

• They have different slopes and same y-intercept.

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

• They have different slopes and different y-intercepts.

• They have the same slope and same y-intercept.

If two lines have slopes of -2, what can be said about these lines?

• They are neither parallel nor perpendicular.

• They are perpendicular.

• They are parallel.

• They intersect at a right angle.

What is the relationship between the slopes of two perpendicular lines?

• Their slopes are both undefined.

• Their slopes are both zero.

• Their slopes are negative reciprocals.

• Their slopes are equal.

How can you verify if two lines are perpendicular using their slopes?

• Check if the slopes are both positive.

• Check if the product of the slopes is -1.

• Check if the product of the slopes is 1.

• Check if the slopes are equal.

What is the slope of a line parallel to a line with slope 2/3?

• 3/2

• -2/3

• 2/3

• -3/2

If a line has a slope of 5/2, what is the slope of a line perpendicular to it?

• 5/2

• 2/5

• -5/2

• -2/5

What is the equation of a line parallel to y = 1/3x that passes through the origin?

• y = -1/3x

• y = 1/3x

• y = 3x

• y = -3x

What is the equation of a vertical line passing through the point (-3, -2)?

• x = -2

• y = -3

• x = -3

• y = -2

Which of the following is true for a horizontal line?

• It has an undefined slope.

• It has a slope of zero.

• It has a negative slope.

• It has a positive slope.

What is the equation of a line perpendicular to y = 4?

• x = 4

• y = 0

• x = 0

• x = -3