Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). Their slopes are negative reciprocals of each other.

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 slope of a line parallel to y = 2x + 5?

Back

The slope of a line parallel to y = 2x + 5 is 2.

Front

What is the slope of a line perpendicular to y = -3x + 1?

Back

The slope of a line perpendicular to y = -3x + 1 is 1/3.

Front

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

Back

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

Front

How do 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 equation of a line parallel to y = 4x - 3 that passes through the point (1, 2)?

Back

The equation is y = 4x - 2.

Front

What is the equation of a line perpendicular to y = 1/2x + 3 that passes through the point (2, 1)?

Back

The equation is y = -2x + 5.

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if they intersect at an angle that is not 90 degrees and do not have the same slope.