Parallel and Perpendicular Lines BASICS

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. 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

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation y = mx + b.

Front

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

Back

Two lines are parallel if they have the same slope.

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 = 4x + 1?

Back

The slope is 4.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope is -2.

Front

If line A has a slope of 3, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is -1/3.

Front

If line B has a slope of -1/4, what is the slope of a line parallel to it?

Back

The slope of the parallel line is -1/4.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.