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 (change in y over change in x).

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 their slopes are opposite reciprocals.

Tags

CCSS.HSG.CO.A.1

Front

If the slope of one line is 2, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with a slope of 2 is -1/2.

Tags

CCSS.8.EE.B.6

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Tags

CCSS.8.EE.B.5

Front

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

Back

The lines are perpendicular because their slopes are opposite reciprocals.

Tags

CCSS.8.EE.B.6

Front

What is the slope of the line represented by the equation y = -5x + 2?

Back

The slope of the line is -5.

Tags

CCSS.8.EE.B.5

Front

If two lines are parallel, what can we say about their y-intercepts?

Back

The y-intercepts can be different; only the slopes must be the same.

Front

What is the slope of the line represented by the equation y = 0.5x - 4?

Back

The slope of the line is 0.5.

Tags

CCSS.8.EE.B.5

Front

If the slope of one line is -3, what is the slope of a line that is parallel to it?

Back

The slope of a line that is parallel to a line with a slope of -3 is also -3.

Tags

CCSS.8.EE.B.5