Parallel, Perpendicular or Neither

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What are perpendicular lines?

Back

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

Front

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

Back

If two lines are neither parallel nor perpendicular, they intersect at an angle that is not 90 degrees and do not maintain a constant distance apart.

Front

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

Back

Two lines are parallel if they have the same slope. For example, the equations y = 2x + 3 and y = 2x - 1 are parallel.

Front

How can you determine if two lines are perpendicular using their equations?

Back

Two lines are perpendicular if the product of their slopes is -1. For example, the equations y = 2x + 3 and y = -0.5x + 1 are perpendicular.

Front

What is the slope of a line in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

If the slopes of two lines are 3 and -1/3, what can you say about the lines?

Back

The lines are perpendicular because the product of their slopes (3 * -1/3) equals -1.

Front

If the equations of two lines are y = 4x + 2 and y = 4x - 5, what is the relationship between them?

Back

The lines are parallel because they have the same slope of 4.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.