Exploring Equations of Parallel and Perpendicular Lines

What symbol represents parallel lines?

• A cross

• A single line

• An upside-down T

• Two vertical lines

What is the relationship between the slopes of parallel lines?

• They are negative reciprocals

• They are the same

• They are perpendicular

• They are zero

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

• -3/2

• 3/2

• -2/3

• 2/3

What is the relationship between the slopes of perpendicular lines?

• They are the same

• They are zero

• They are negative reciprocals

• They are undefined

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

• 2/5

• -2/5

• 5/2

• -5/2

Given a point (-3, 1) and a line y = -2/3x - 2, what is the equation of a line parallel to it passing through the point?

• y = -2/3x - 1

• y = 2/3x - 1

• y = -2/3x + 1

• y = 2/3x + 1

Given a point (3, -4) and a line y = -7/3x + 2, what is the equation of a line parallel to it passing through the point?

• y = 7/3x - 3

• y = -7/3x - 3

• y = 7/3x + 3

• y = -7/3x + 3

Given a point (0, 0) and a line with slope -5/2, what is the equation of a line perpendicular to it passing through the point?

• y = 5/2x

• y = -5/2x

• y = 2/5x

• y = -2/5x

Given a point (1, 1) and a line with slope -4, what is the equation of a line perpendicular to it passing through the point?

• y = -1/4x + 3/4

• y = 1/4x + 3/4

• y = -1/4x - 3/4

• y = 1/4x - 3/4

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

• 1

• 0

• -1

• Undefined