A1 M3 D3 Slopes of Parallel and Perpendicular Lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they are negative reciprocals of each other.

Front

Back

Front

What are negative reciprocals?

Back

Front

Back

The lines are parallel because they have identical slopes.

Front

Back

The lines are perpendicular because their slopes are negative reciprocals.

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are identical.

Front

How can you determine if two lines are neither parallel nor perpendicular?

Back

If the slopes of two lines are different and not negative reciprocals, then the lines are neither parallel nor perpendicular.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.