Parallel and Perpendicular Lines and Their Slopes

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

How do you determine if two lines are parallel based on their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular based on their slopes?

Back

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

Front

What is the slope of a line in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

The slope of a line that is perpendicular to a line with a slope of 2 is -1/2.

Front

What is the slope of a line parallel to the line y = 3x + 5?

Back

The slope of a line parallel to y = 3x + 5 is 3.

Front

What do we call lines that intersect at any angle?

Back

Lines that intersect at any angle are called intersecting lines.

Front

If two lines have slopes of 1/4 and 1/4, what can we say about their relationship?

Back

The two lines are parallel.

Front

What is the relationship between the slopes of two lines that are perpendicular?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.