Parallel and Perpendicular Lines and Their Slopes

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 of a line, y = mx + b.

Front

If two lines have the same slope, what can we say about them?

Back

If two lines have the same slope, they are parallel.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals. If one line has a slope of m, the other line's slope will be -1/m.

Front

Back

Front

If line A has a slope of 2 and line B has a slope of -2, what is the relationship between them?

Back

Line A and line B are perpendicular.

Front

What does it mean if two lines are neither parallel nor perpendicular?

Back

If two lines are neither parallel nor perpendicular, they intersect at an angle that is not 90 degrees.

Front

How can you determine if two lines given by equations are parallel?

Back

Two lines are parallel if their equations have the same slope.

Front

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

Back

The slope of the line is 4.