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 intersect at a right angle.

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 a line with slope m is -1/m (the opposite reciprocal).

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

If two lines have slopes of 2 and -1/2, what can be said about their relationship?

Back

The lines are perpendicular because the product of their slopes (2 * -1/2) equals -1.

Front

If two lines have slopes of 3 and 3, what can be said about their relationship?

Back

The lines are parallel because they have the same slope.

Front

What is the relationship between the slopes of two lines if one slope is 4 and the other is 1/4?

Back

The lines are neither parallel nor perpendicular because the product of their slopes (4 * 1/4) equals 1.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.