Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect. They have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). Their slopes are negative reciprocals of each other.

Front

If two lines have slopes of 3 and -1/3, what can we say about them?

Back

The lines are perpendicular because their slopes are negative reciprocals.

Front

What is the slope of a line parallel to y = 4x + 5?

Back

The slope is 4, as parallel lines have the same slope.

Front

What is the slope of a line perpendicular to y = -2x + 1?

Back

The slope is 1/2, as it is the negative reciprocal of -2.

Front

How can you determine if two lines are parallel from their equations?

Back

If the lines have the same slope, they are parallel.

Front

What does it mean if two lines are neither parallel nor perpendicular?

Back

It means the lines intersect at an angle that is not 90 degrees and do not have the same slope.

Front

What is the slope of the line represented by the equation y = 5x + 3?

Back

The slope is 5.

Front

If two lines are represented by y = 1/2x + 4 and y = 1/2x - 2, what can we say about them?

Back

The lines are parallel because they have the same slope of 1/2.

Front

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

Back

The product of their slopes is -1.