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

Back

The slope of the perpendicular line would be -1/2, as it is the negative reciprocal of 2.

Front

What are negative reciprocals?

Back

Negative reciprocals are two numbers whose product is -1. For example, if one number is a/b, its negative reciprocal is -b/a.

Front

If two lines have slopes of 3/4 and 4/3, are they parallel, perpendicular, or neither?

Back

Neither, because their slopes are not equal and their product is not -1.

Front

True or False: Perpendicular lines have the same slope.

Back

False.

Front

True or False: The slopes of perpendicular lines are negative reciprocals of each other.

Back

True.

Front

If the slopes of two lines are 4 and -1/4, what can we say about the lines?

Back

They are perpendicular, as their slopes are negative reciprocals.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.