Understanding Parallel and Perpendicular Lines

This video tutorial covers the definitions and properties of parallel and perpendicular lines. It explains how to determine the equations of lines that are parallel or perpendicular to a given line using slope-intercept and point-slope forms. The video also addresses special cases involving vertical and horizontal lines, providing graphical verification using a graphing calculator.

What is the key characteristic of parallel lines?

• They are always vertical.

• They have different slopes and intercepts.

• They have the same slope but different intercepts.

• They intersect at a right angle.

How can you determine if two lines are parallel?

• By checking if they have the same y-intercept.

• By checking if their slopes are negative reciprocals.

• By checking if they intersect at a right angle.

• By checking if they have the same slope.

What is the relationship between the slopes of perpendicular lines?

• They are both undefined.

• They are equal.

• They are negative reciprocals.

• They are both zero.

If a line has a slope of 3/4, what is the slope of a line perpendicular to it?

• 3/4

• -3/4

• 4/3

• -4/3

What is the first step in finding the equation of a line parallel to a given line?

• Find the y-intercept of the given line.

• Find the x-intercept of the given line.

• Determine the slope of the given line.

• Determine the midpoint of the given line.

Which form can be used to find the equation of a line parallel to a given line?

• Standard form

• Point-slope form

• Quadratic form

• Exponential form

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

• -2/3

• 2/3

• -3/2

• 3/2

How do you find the equation of a line perpendicular to a given line?

• Use the same x-intercept as the given line.

• Use the same slope as the given line.

• Use the negative reciprocal of the given line's slope.

• Use the same y-intercept as the given line.

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

• y = -2

• x = -3

• y = -3

• x = -2

What is the slope of a horizontal line?

• Negative

• One

• Undefined

• Zero