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 divided by the change in x (rise over run).

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect. They have identical slopes.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines 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 would also be 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 would be -1/4.

Front

What does it mean for slopes to be negative reciprocals?

Back

Two slopes are negative reciprocals if the product of the two slopes is -1. For example, if one slope is 2, the negative reciprocal is -1/2.

Front

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

Back

The slope of the line is 5.

Front

How can you determine if two lines are parallel from their equations?

Back

Two lines are parallel if their slopes are equal.

Front

How can you determine if two lines are perpendicular from their equations?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.