Parallel and Perpendicular Slopes

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 opposite reciprocals.

Front

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

Back

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

Front

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

Back

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

Front

What are opposite reciprocals?

Back

Opposite reciprocals are two numbers whose product is -1. For example, if one slope is 2, the opposite reciprocal is -1/2.

Front

Back

The slope of the line is 3.

Front

Back

The slope of the line is -1/4.

Front

Given the slopes m = 5 and m = -5, are the lines parallel, perpendicular, or neither?

Back

Neither, because they have opposite slopes.

Front

Back