Writing Equations of Parallel and Perpendicular Lines

What is the defining characteristic of parallel lines?

• They intersect at one point.

• They have the same slope.

• They are always vertical.

• They have different slopes.

How can you determine if two lines are parallel?

• By comparing their y-intercepts.

• By comparing their slopes.

• By checking if they intersect.

• By checking if they are vertical.

What is the slope of a line passing through points (3, 2) and (1, -3)?

• 1/2

• 5

• -5

• -1/2

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

• 2

• -2

• 1/2

• -1/2

What is the equation of a line parallel to y = 2x + 3 that passes through (5, -4)?

• y = -2x + 14

• y = -2x - 14

• y = 2x + 14

• y = 2x - 14

What is the relationship between the slopes of perpendicular lines?

• They are both positive.

• They are negative reciprocals.

• They are equal.

• They are both negative.

Which of the following pairs of slopes represents perpendicular lines?

• -1/4 and 4

• 3 and 1/3

• 1/2 and -2

• 2 and 2

Determine if the lines y = -1/4x + 3 and y = 4x - 2 are parallel, perpendicular, or neither.

• Neither

• Both

• Perpendicular

• Parallel

What is the equation of a line perpendicular to y = 1/2x + 3 that passes through (1, -3)?

• y = 1/2x - 5

• y = -1/2x - 5

• y = -2x - 5

• y = 2x - 5

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

• -1/3

• 3

• -3

• 1/3