Parallel and Perpendicular Slopes

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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 intersect at a right angle.

Tags

CCSS.8.EE.B.6

Front

If the slope of one line is 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with slope 3 is -1/3.

Tags

CCSS.8.EE.B.6

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between the slopes of perpendicular lines?

Back

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

Tags

CCSS.HSG.CO.A.1

Front

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

Back

The slope of a line parallel to a line with slope -2 is also -2.

Tags

CCSS.8.EE.B.5

Front

True or False: Perpendicular lines have the same slope.

Back

False.

Tags

CCSS.8.EE.B.6

Front

True or False: The slope of perpendicular lines are negative reciprocals.

Back

True.

Tags

CCSS.8.EE.B.6

Front

True or False: Parallel lines have different slopes.

Back

False.