Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

If two lines have slopes of 2 and -1/2, what can we say about them?

Back

They are perpendicular lines.

Front

If two lines have slopes of 3 and 3, what can we say about them?

Back

They are parallel lines.

Front

What is the slope-intercept form of a line?

Back

The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Lines that intersect at an angle that is not 90 degrees and do not have the same slope.

Front

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

Back

If the coefficients of x in both equations are the same, the lines are parallel.

Front

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

Back

If the product of their slopes is -1, the lines are perpendicular.

Front

What is an example of a pair of parallel lines?

Back

y = 2x + 3 and y = 2x - 5.