Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. 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 opposite reciprocals.

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 opposite reciprocals.

Front

What is the slope of a line parallel to y = 4x + 1?

Back

The slope is 4, as parallel lines have identical slopes.

Front

What is the slope of a line perpendicular to y = -2x + 5?

Back

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

Front

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

Back

If the slopes of the two lines are identical, then the lines are parallel.

Front

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

Back

The slopes of two perpendicular lines are opposite reciprocals of each other.

Front

If the equation of a line is y = 5x + 3, what is the slope?

Back

The slope is 5.

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 have different slopes.

Front

What is the slope of the line y = 2/3x + 4?

Back

The slope is 2/3.