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'. It is calculated as the change in y (rise) over the change in x (run).

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

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

Back

The slope of a line parallel to it is also 3.

Front

If the slope of one line is 4, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/4.

Front

True or False: Parallel lines have different slopes.

Back

False. Parallel lines have the same slope.

Front

True or False: Perpendicular lines have slopes that are negative reciprocals of each other.

Back

True.

Front

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

Back

The slope of the line is 2.

Front

If two lines have slopes of 5 and -1/5, what can be said about their relationship?

Back

The two lines are perpendicular.

Front

What is the slope of a line parallel to the line represented by y = -3x + 1?

Back

The slope of a line parallel to it is -3.