Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect. They have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). Their slopes are opposite reciprocals.

Front

If two lines have identical slopes, what can we say about them?

Back

If two lines have identical slopes, they are parallel.

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 a line that is perpendicular to a line with slope 2 is -1/2 (the opposite reciprocal).

Front

What is the slope of a line that is parallel to the line represented by the equation y = 3x + 4?

Back

The slope of a line that is parallel to y = 3x + 4 is also 3.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -1/4x + 2?

Back

The slope of the line y = -1/4x + 2 is -1/4.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

If a line has an undefined slope, what type of line is it?

Back

A line with an undefined slope is a vertical line.

Front

What is the relationship between the slopes of two lines that are neither parallel nor perpendicular?

Back

The slopes of two lines that are neither parallel nor perpendicular do not have a specific relationship; they are not equal and their product is not -1.